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

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

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

Combine like terms: 4x + x = 5x
6 + 5x = 3(6x + -12) + -4(x + -6)

Reorder the terms:
6 + 5x = 3(-12 + 6x) + -4(x + -6)
6 + 5x = (-12 * 3 + 6x * 3) + -4(x + -6)
6 + 5x = (-36 + 18x) + -4(x + -6)

Reorder the terms:
6 + 5x = -36 + 18x + -4(-6 + x)
6 + 5x = -36 + 18x + (-6 * -4 + x * -4)
6 + 5x = -36 + 18x + (24 + -4x)

Reorder the terms:
6 + 5x = -36 + 24 + 18x + -4x

Combine like terms: -36 + 24 = -12
6 + 5x = -12 + 18x + -4x

Combine like terms: 18x + -4x = 14x
6 + 5x = -12 + 14x

Solving
6 + 5x = -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 + 5x + -14x = -12 + 14x + -14x

Combine like terms: 5x + -14x = -9x
6 + -9x = -12 + 14x + -14x

Combine like terms: 14x + -14x = 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 = -18
-9x = -18

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

Simplifying
x = 2