 In this video, we provide the solution to question number 10 from the practice exam to for math 1050. We have to solve a linear equation. We have 6 times 7 plus x is equal to 5 times 9 plus x. We want to solve for x there. So our goal is to combine like terms. My first, the first thing I'm going to do to get there is to distribute these coefficients. So distribute the six, distribute the five. So this is going to give us 6 times 7, which is 42. And then we get 6 times x, which is just 6x. On the right hand side, we get 5 times 9, which is 45. And then we get 5 times x, which is 5x. Now, in this situation, we can we're not ready to combine the x's together. I noticed that if I move the 5x to the other side, I'll get a positive coefficient, which is generally what I like. So I'm going to subtract 5x from both sides. I want to get the x's by themselves. So we're actually going to subtract 42, 42 from both sides as well. 42. Then on the left hand side, you get the 6x minus 5x. On the right hand side, you get the 45 minus 42. 6x minus 5x just gives us an x. And 45 minus 42 just gives us a 3. And so that is then the solution to this equation. It would be a good idea to check your solution, but I can reassure you in this situation the correct solution is in fact x equals 3.