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

This video looks at the process used to solve equations that contain variables on both sides of the equation. It includes three examples.

Category:

Education

Tags:

• math
• pre-algebra
• algebra
• solving
• equations
• variables

[sonalisonali245]

how would I solve 5(2x - 7) = 8?

[mbrandl11]

@sonalisonali245

Start by distributing the five through to get rid of the parenthesis.

10x - 35 = 8

Then add 35 to both sides to get rid of the minus 35.

10x - 35 + 35 = 8 + 35

10x = 43

Finally, divide by 10 on both sides to get the x by itself.

10x/10 = 43/10

x = 4.3

I hope that helps! Keep working hard on your math! :-)

[xxxAl0nexxx]

can you help me please solve this?

-4(3-X)+6 = 2(X-3)

[mbrandl11]

@xxxAl0nexxx Start by distributing on both sides to get rid of the parenthesis. -12 + 4x + 6 = 2x - 6 Then combine like terms. 4x - 6 = 2x - 6 Get all the variables together on the same side by subtracting 2x from both sides. 4x - 2x - 6 = 2x - 2x - 6 2x - 6 = -6 Get rid of the minus 6 by adding six to both sides. 2x - 6 + 6 = -6 + 6 2x = 0 Finally, divide by 2 on both sides to get the x by itself. 2x/2 = 0/2 x = 0 I hope that helps! Keep working hard on your math! :-)

[phoenixman184]

how would you solve m-20=4m+22

[mbrandl11]

@phoenixman184

Start by getting all the variables on the same side.

m - m - 20 = 4m - m + 22

-20 = 3m + 22

Then subtract 22 from both sides.

-20 - 22 = 3m + 22 - 22

-42 = 3m

I bet you can take it from there! Keep working hard on your math! :-)

[RawChickenFoo]

Great video. Helped a lot

[Kuranluv117]

MATH GOD! I BOW DOWN TO YOU! I am actually bowing down right now...literally

[superstarcity98]

:O!! This video saved me! ^_^ Thanks!

[25aking]

Sir thank you so much I was litterally crying because i couldn't do this exact assignment on flvs but you summed it up in 7 mins thank you