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.