Hi.
We are going to have to simplify the expressions on both sides of the equation to solve this problem. So let's start with the left side:
2(2x - 7) = 3 (5x - 13)
4x - 14 = 3 (5x - 13)
Next, we'll simplify the right side:
4x - 14 = 15x - 39
Third, we want to put the terms that include "x" on the same side of the equal sign. I'm going to choose to move 15x from the right side to the left side. To do this, I'll subtract 15x from both sides.
-11x - 14 = -39
Fourth, I want to get -11x alone. So I'll add 14 to the left side of the equation and to the right side, too.
-11x = 25
Fifth, I'm going to get x all my itself by dividing both sides by -11:
x = -25/11 = -2 3/11
