-3(4x-4)=6(3x-4)+156

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Solution for -3(4x-4)=6(3x-4)+156 equation:


Simplifying
-3(4x + -4) = 6(3x + -4) + 156

Reorder the terms:
-3(-4 + 4x) = 6(3x + -4) + 156
(-4 * -3 + 4x * -3) = 6(3x + -4) + 156
(12 + -12x) = 6(3x + -4) + 156

Reorder the terms:
12 + -12x = 6(-4 + 3x) + 156
12 + -12x = (-4 * 6 + 3x * 6) + 156
12 + -12x = (-24 + 18x) + 156

Reorder the terms:
12 + -12x = -24 + 156 + 18x

Combine like terms: -24 + 156 = 132
12 + -12x = 132 + 18x

Solving
12 + -12x = 132 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
12 + -12x + -18x = 132 + 18x + -18x

Combine like terms: -12x + -18x = -30x
12 + -30x = 132 + 18x + -18x

Combine like terms: 18x + -18x = 0
12 + -30x = 132 + 0
12 + -30x = 132

Add '-12' to each side of the equation.
12 + -12 + -30x = 132 + -12

Combine like terms: 12 + -12 = 0
0 + -30x = 132 + -12
-30x = 132 + -12

Combine like terms: 132 + -12 = 120
-30x = 120

Divide each side by '-30'.
x = -4

Simplifying
x = -4

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