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

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


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

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

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

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

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

Remove parenthesis around (2 + -2x)
22 + 1x = 2 + -2x + -1x

Combine like terms: -2x + -1x = -3x
22 + 1x = 2 + -3x

Solving
22 + 1x = 2 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
22 + 1x + 3x = 2 + -3x + 3x

Combine like terms: 1x + 3x = 4x
22 + 4x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
22 + 4x = 2 + 0
22 + 4x = 2

Add '-22' to each side of the equation.
22 + -22 + 4x = 2 + -22

Combine like terms: 22 + -22 = 0
0 + 4x = 2 + -22
4x = 2 + -22

Combine like terms: 2 + -22 = -20
4x = -20

Divide each side by '4'.
x = -5

Simplifying
x = -5

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