Answer:
x = -2
Step-by-step explanation:
We are given the following equation:
3(2x + 5) + 8 = -2(4x - 5) - 15
The first step is applying the distributive properties. So
3(2x + 5) = 3*2x + 3*5 = 6x + 15
-2(4x - 5) = -2*4x -2*(-5) = -8x + 10
So
3(2x + 5) + 8 = -2(4x - 5) - 15
6x + 15 + 8 = -8x + 10 - 15
Now we simplify the like terms
6x + 23 = -8x - 5
Now we solve for x, placing every term with x on the left side and every independent term on the right.
6x + 8x = -5 - 23
14x = -28
x = -28/14
x = -2
