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

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

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

Combine like terms: 4X + 7X = 11X
6 + 11X = 3(6X + -12) + -4(X + -6)

Reorder the terms:
6 + 11X = 3(-12 + 6X) + -4(X + -6)
6 + 11X = (-12 * 3 + 6X * 3) + -4(X + -6)
6 + 11X = (-36 + 18X) + -4(X + -6)

Reorder the terms:
6 + 11X = -36 + 18X + -4(-6 + X)
6 + 11X = -36 + 18X + (-6 * -4 + X * -4)
6 + 11X = -36 + 18X + (24 + -4X)

Reorder the terms:
6 + 11X = -36 + 24 + 18X + -4X

Combine like terms: -36 + 24 = -12
6 + 11X = -12 + 18X + -4X

Combine like terms: 18X + -4X = 14X
6 + 11X = -12 + 14X

Solving
6 + 11X = -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 + 11X + -14X = -12 + 14X + -14X

Combine like terms: 11X + -14X = -3X
6 + -3X = -12 + 14X + -14X

Combine like terms: 14X + -14X = 0
6 + -3X = -12 + 0
6 + -3X = -12

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

Combine like terms: 6 + -6 = 0
0 + -3X = -12 + -6
-3X = -12 + -6

Combine like terms: -12 + -6 = -18
-3X = -18

Divide each side by '-3'.
X = 6

Simplifying
X = 6