Equations With Variables on Both Sides - By Request

[superstarcity98]

I now know this...... YES! I better get an A for sure. x__x

[peterjgagnon]

Thanks for the help



[noobwerd]

do you have a fractions version of this?

[mbrandl11]

@noobwerd

Search my videos for "solving & fractions" and I think you might find some helpful things to check out.

I hope that helps! :-)

[frostybearx]

What happens if the number cant divide?

So like what if was 3 = 25

What would you do?

[mbrandl11]

@frostybearx

Do you mean that there's no variable left? If that's the case, when we end up with something that's not true, like 3 = 25, then there is no solution. If you end up with something that is true, like 3 = 3, then it's an identity and all numbers will work.

I hope that helps! :-)

[gerardo95062]

Seriously I know this but I need help with this one: -35-5(x-3)=x+2(x-2)

[mbrandl11]

@gerardo95062

Start by distributing the -5 and the 2 through on the left and right respectively.

-35 - 5x + 15 = x + 2x - 4

Then combine like terms

-20 - 5x = 3x - 4

I bet you can take it from there! I hope that helps! Keep working hard! :-)

[origMELSIEandGISA]

hello , i was wondering if you can help me with a probem ,? its 0.2(7+2t)=0.4t+1.4

i tried to follow the steps on this video but it kinda of confused me .

[mbrandl11]

@origMELSIEandGISA

Start by distributing on the left to get rid of the parenthesis.

1.4 + 0.4t = 0.4t + 1.4

Subtract 0.4t from both sides to get the variables to the same side.

1.4 + 0.4t - 0.4t = 0.4t - 0.4t + 1.4

1.4 = 1.4

The variable is gone! Since 1.4 is indeed equal to 1.4, the solution is all numbers, or an identity.

I hope that helps! I do have a video explaining more about this situation if you'd like to see more. :-)

[spartanking32i]

what about with fractions

[mbrandl11]

@spartanking32i

Check out my video "Solving Multi-Step Equations with Fractions" for a number of examples.

[rugggus]

I got it

A-P=Prt divide by P

A/P-P/P=Prt/P  Solve

A/P-1=rt add 1 to both sides

A/P=1+rt transpose

P=A/1+rt

:-)

[mbrandl11]

@rugggus

Nice work! :-)

[rugggus]

@mbrandl11

what is the correct terminology for the action of moving the numerator from a fraction on one side of an equation over a whole expression on the other side, such as A/P=1+rt TO P=A/1+rt?

Thank You

[mbrandl11]

@rugggus

You're basically taking the cross products and then solving for P.

[rugggus]

@rugggus

test

[rugggus]

I am suppose to solve for P

the formula is A-P=Prt

I even know the answer is suppose to be P=A/1+rt but don't know how to get there

I get to P=A-Prt

How do I solve for P without canceling it out???

[TheBeast2456]

please help me!!! 3(4x-2) = 12x

[mbrandl11]

@TheBeast2456

Use the distributive property to get rid of the parenthesis.

3(4x - 2) = 12x

12x - 6 = 12x

Get all the variables on the same side by subtracting 12x and simplifying.

12x - 12x - 6 = 12x - 12x

-6 = 0

When the variables all cancel out and we're left with something that is not true, in this case, -6 is not equal to 0, the equation has no solution.

If the variables all cancel out and we're left with something that is true, like 3 = 3, then all numbers will work!

[chimpo80S]

mr. mbrandl11 can you help me solve this? -3+2y=y+10

[mbrandl11]

@chimpo80S

Start by getting all the variables on the same side by subtracting y from both sides.

-3 + 2y - y = y - y + 10

-3 + y = 10

Then get the y by itself by adding 3 to both sides.

-3 + 3 + y = 10 + 3

y = 13

I hope that helps! :-)

[ThunderclanWarrior6]

You are awesome! I literally understood this more in 8 minutes hearing you explain this than hearing my teacher repeat it over and over to the class for about four days.

[mbrandl11]

@ThunderclanWarrior6

I'm glad you found it helpful! :-)

[MyScooby28]

Please help me with solving this problem

13x + 9 - 4= 12x-3

[mbrandl11]

@MyScooby28 Start by combining like terms: 13x + 9 - 4 = 12x - 3 13x + 5 = 12x - 3 Then get all the variables on the same side. I'll subtract 12x from both sides. 13x - 12x + 5 = 12x - 12x - 3 x + 5 = -3 Finally, subtract five from both sides to get the x by itself. x + 5 - 5 = -3 - 5 x = -8 I hope that helps! :-)

[apregnantbaby26]

I haz a question... im in algebra one and im doing the exact same stuff, but im wondering that you know how theres numbers with variables on each side? which one do you do first or does it not matter?

[mbrandl11]

@apregnantbaby26

It doesn't matter. The key is getting all the variables on the same side of the equation.

[aedododingdona]

thanks for posting, its really easy to understand

[blazingflame09]

man i am passing all of my test because of u

[aprilcute08]

urm hey! cn u plz help mee? wat f i had da eq. 1/2(6-z)=z ?  wat do i do ?

do i put a 1 nxt 2 da z on da right side then solve it?

[aconblu]

The 1/2 means that you multiply the (6-z) by 1/2. So you multiply everything inside the (6-z) by 1/2.

1/2(6-z) = z

1/2*6 + 1/2*-z =z

3 -1/2*z =z

Now we want the variables on one side and the number on the other. We already have a z on the right side so it is more helpful to leave it and change the left side so that zs stay on the right.

3 - 1/2*z = z + 1/2*z = +1/2*z

3= 1.5 z

3/1.5 = 1.5/1.5z

2 = 1z

2=z

[weywey0407]

Thanks!!

Can u do a vid about the same thing but fractions?

[higher17]

you have a very clear style and it helped me - Thanks.

[unleashed13579]

Could you show examples of how to do equations like this: 6(t-5)=2(t+5).

Please I need so serious help.

[mbrandl11]

Check out my video entitled:

Lesson 7-5: Solving Equations With Variables on Both Sides

[gtoutofthawrld]

no responce to my question??>=(

[mbrandl11]

Sorry, I've been a little under the weather.

[gtoutofthawrld]

hey mbrandl11 this is a good video but i have a question, lets say i havea problem set up like this: 5x+20=4x+30

how would I get the x's on one side, would both the 5x and the 4x be considered as possitives? and if so would this mean that i have to subtract one from another instead of add??

[mbrandl11]

Exactly! You could subtract 4x from both sides, or subtract 5x from both sides, either way.

[gtoutofthawrld]

o.k, THANKYOU!, i just neede to confirm that, I hope you get better man!