First, distribute the terms on both sides:
2(x+2) = 2x + 4
-3(5-x) = -15 + 3x
5(x-3) = 5x - 15
So the equation becomes:
2x + 4 - 15 + 3x = x + 5x - 15
Combine like terms:
Left side: 2x + 3x + 4 - 15 = 5x - 11
Right side: x + 5x - 15 = 6x - 15
So now the equation is:
5x - 11 = 6x - 15
Subtract 5x from both sides:
-11 = x - 15
Add 15 to both sides:
4 = x
So, the value of x which satisfies the equation is:
x = 4