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

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


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

Reorder the terms:
4(-3 + 3x) + 4 = -2(x + -4) + -2x
(-3 * 4 + 3x * 4) + 4 = -2(x + -4) + -2x
(-12 + 12x) + 4 = -2(x + -4) + -2x

Reorder the terms:
-12 + 4 + 12x = -2(x + -4) + -2x

Combine like terms: -12 + 4 = -8
-8 + 12x = -2(x + -4) + -2x

Reorder the terms:
-8 + 12x = -2(-4 + x) + -2x
-8 + 12x = (-4 * -2 + x * -2) + -2x
-8 + 12x = (8 + -2x) + -2x

Combine like terms: -2x + -2x = -4x
-8 + 12x = 8 + -4x

Solving
-8 + 12x = 8 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-8 + 12x + 4x = 8 + -4x + 4x

Combine like terms: 12x + 4x = 16x
-8 + 16x = 8 + -4x + 4x

Combine like terms: -4x + 4x = 0
-8 + 16x = 8 + 0
-8 + 16x = 8

Add '8' to each side of the equation.
-8 + 8 + 16x = 8 + 8

Combine like terms: -8 + 8 = 0
0 + 16x = 8 + 8
16x = 8 + 8

Combine like terms: 8 + 8 = 16
16x = 16

Divide each side by '16'.
x = 1

Simplifying
x = 1

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