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

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

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

Combine like terms: 4x + 7x = 11x
6 + 11x = (6x + -12) + -4(x + -6)

Reorder the terms:
6 + 11x = (-12 + 6x) + -4(x + -6)

Remove parenthesis around (-12 + 6x)
6 + 11x = -12 + 6x + -4(x + -6)

Reorder the terms:
6 + 11x = -12 + 6x + -4(-6 + x)
6 + 11x = -12 + 6x + (-6 * -4 + x * -4)
6 + 11x = -12 + 6x + (24 + -4x)

Reorder the terms:
6 + 11x = -12 + 24 + 6x + -4x

Combine like terms: -12 + 24 = 12
6 + 11x = 12 + 6x + -4x

Combine like terms: 6x + -4x = 2x
6 + 11x = 12 + 2x

Solving
6 + 11x = 12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 11x + -2x = 12 + 2x + -2x

Combine like terms: 11x + -2x = 9x
6 + 9x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 9x = 12 + 0
6 + 9x = 12

Add '-6' to each side of the equation.
6 + -6 + 9x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 9x = 12 + -6
9x = 12 + -6

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

Divide each side by '9'.
x = 0.6666666667

Simplifying
x = 0.6666666667