4(3-2x)+(x-12)=3(2-2x)

Solution for 4(3-2x)+(x-12)=3(2-2x) equation:

Simplifying
4(3 + -2x) + (x + -12) = 3(2 + -2x)
(3 * 4 + -2x * 4) + (x + -12) = 3(2 + -2x)
(12 + -8x) + (x + -12) = 3(2 + -2x)

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

Remove parenthesis around (-12 + x)
12 + -8x + -12 + x = 3(2 + -2x)

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

Combine like terms: 12 + -12 = 0
0 + -8x + x = 3(2 + -2x)
-8x + x = 3(2 + -2x)

Combine like terms: -8x + x = -7x
-7x = 3(2 + -2x)
-7x = (2 * 3 + -2x * 3)
-7x = (6 + -6x)

Solving
-7x = 6 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-7x + 6x = 6 + -6x + 6x

Combine like terms: -7x + 6x = -1x
-1x = 6 + -6x + 6x

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

Divide each side by '-1'.
x = -6

Simplifying
x = -6