-x+3(2+3x)=-12+3(3x+2)

Solution for -x+3(2+3x)=-12+3(3x+2) equation:

Simplifying
-1x + 3(2 + 3x) = -12 + 3(3x + 2)
-1x + (2 * 3 + 3x * 3) = -12 + 3(3x + 2)
-1x + (6 + 9x) = -12 + 3(3x + 2)

Reorder the terms:
6 + -1x + 9x = -12 + 3(3x + 2)

Combine like terms: -1x + 9x = 8x
6 + 8x = -12 + 3(3x + 2)

Reorder the terms:
6 + 8x = -12 + 3(2 + 3x)
6 + 8x = -12 + (2 * 3 + 3x * 3)
6 + 8x = -12 + (6 + 9x)

Combine like terms: -12 + 6 = -6
6 + 8x = -6 + 9x

Solving
6 + 8x = -6 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
6 + 8x + -9x = -6 + 9x + -9x

Combine like terms: 8x + -9x = -1x
6 + -1x = -6 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -1x = -6 + 0
6 + -1x = -6

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

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

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

Divide each side by '-1'.
x = 12

Simplifying
x = 12