Question 291784
solve:

2(x-4) + 3(x+5) = 2x-2  so first thing is simplify the equation
2x-8 + 3x+15 = 2x -2  keep simplifying
5x + 7 = 2x - 2  subtract 2x from both sides
3x + 7 = -2  subtract 7 from both sides
3x = -9  divide by 3
x = -3

Check:

2(-3-4) + 3(-3+5) =2(-3)-2
2(-7) + 3(2) = -6-2
-14 + 6 = -8
-8 = -8

so we know that the answer x = -3 is correct