4*(x+6)-3x-2=5*(2-2x)-x

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Solution for 4*(x+6)-3x-2=5*(2-2x)-x equation:


Simplifying
4(x + 6) + -3x + -2 = 5(2 + -2x) + -1x

Reorder the terms:
4(6 + x) + -3x + -2 = 5(2 + -2x) + -1x
(6 * 4 + x * 4) + -3x + -2 = 5(2 + -2x) + -1x
(24 + 4x) + -3x + -2 = 5(2 + -2x) + -1x

Reorder the terms:
24 + -2 + 4x + -3x = 5(2 + -2x) + -1x

Combine like terms: 24 + -2 = 22
22 + 4x + -3x = 5(2 + -2x) + -1x

Combine like terms: 4x + -3x = 1x
22 + 1x = 5(2 + -2x) + -1x
22 + 1x = (2 * 5 + -2x * 5) + -1x
22 + 1x = (10 + -10x) + -1x

Combine like terms: -10x + -1x = -11x
22 + 1x = 10 + -11x

Solving
22 + 1x = 10 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
22 + 1x + 11x = 10 + -11x + 11x

Combine like terms: 1x + 11x = 12x
22 + 12x = 10 + -11x + 11x

Combine like terms: -11x + 11x = 0
22 + 12x = 10 + 0
22 + 12x = 10

Add '-22' to each side of the equation.
22 + -22 + 12x = 10 + -22

Combine like terms: 22 + -22 = 0
0 + 12x = 10 + -22
12x = 10 + -22

Combine like terms: 10 + -22 = -12
12x = -12

Divide each side by '12'.
x = -1

Simplifying
x = -1

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