-3(6+x)+12=9-(x-3)

Solution for -3(6+x)+12=9-(x-3) equation:

Simplifying
-3(6 + x) + 12 = 9 + -1(x + -3)
(6 * -3 + x * -3) + 12 = 9 + -1(x + -3)
(-18 + -3x) + 12 = 9 + -1(x + -3)

Reorder the terms:
-18 + 12 + -3x = 9 + -1(x + -3)

Combine like terms: -18 + 12 = -6
-6 + -3x = 9 + -1(x + -3)

Reorder the terms:
-6 + -3x = 9 + -1(-3 + x)
-6 + -3x = 9 + (-3 * -1 + x * -1)
-6 + -3x = 9 + (3 + -1x)

Combine like terms: 9 + 3 = 12
-6 + -3x = 12 + -1x

Solving
-6 + -3x = 12 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
-6 + -3x + x = 12 + -1x + x

Combine like terms: -3x + x = -2x
-6 + -2x = 12 + -1x + x

Combine like terms: -1x + x = 0
-6 + -2x = 12 + 0
-6 + -2x = 12

Add '6' to each side of the equation.
-6 + 6 + -2x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = 12 + 6
-2x = 12 + 6

Combine like terms: 12 + 6 = 18
-2x = 18

Divide each side by '-2'.
x = -9

Simplifying
x = -9