Question

8(x+3)-6=-3(x+6) solve for x

Answer 1

8x + 24 - 6 = -3x - 18
8x + 18 = - 3x - 18
8x + 3x = 0
11x = 0

Answer 2

First simplify on both sides of the equal sign:
8(x + 3) - 6 = -3(x +6)
8x + 24 - 6 = -3x - 18

Simplify further by combining like terms:
8x + 24 - 6 = -3x - 18
8x + 18 = -3x - 18

Next, get all the variables on one side of the equal sign and the constant on the other side. Do this by doing inverse operation:
8x + 18 = -3x - 18
+3x           +3x
11x + 18 = 18
        -18     -18
       11x = 0
  
Once you have the variables and numbers on different sides, perform the opposite operation.
So 11/11 cancels out
0/11 = 0

Therefore, x equals 0.