6+6x+7x=3(6x-12)-4(x-6)

Solution for 6+6x+7x=3(6x-12)-4(x-6) equation:

Simplifying
6 + 6x + 7x = 3(6x + -12) + -4(x + -6)

Combine like terms: 6x + 7x = 13x
6 + 13x = 3(6x + -12) + -4(x + -6)

Reorder the terms:
6 + 13x = 3(-12 + 6x) + -4(x + -6)
6 + 13x = (-12 * 3 + 6x * 3) + -4(x + -6)
6 + 13x = (-36 + 18x) + -4(x + -6)

Reorder the terms:
6 + 13x = -36 + 18x + -4(-6 + x)
6 + 13x = -36 + 18x + (-6 * -4 + x * -4)
6 + 13x = -36 + 18x + (24 + -4x)

Reorder the terms:
6 + 13x = -36 + 24 + 18x + -4x

Combine like terms: -36 + 24 = -12
6 + 13x = -12 + 18x + -4x

Combine like terms: 18x + -4x = 14x
6 + 13x = -12 + 14x

Solving
6 + 13x = -12 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
6 + 13x + -14x = -12 + 14x + -14x

Combine like terms: 13x + -14x = -1x
6 + -1x = -12 + 14x + -14x

Combine like terms: 14x + -14x = 0
6 + -1x = -12 + 0
6 + -1x = -12

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

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

Combine like terms: -12 + -6 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18