4(x+3)=-(2x-2)+22

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Solution for 4(x+3)=-(2x-2)+22 equation:


Simplifying
4(x + 3) = -1(2x + -2) + 22

Reorder the terms:
4(3 + x) = -1(2x + -2) + 22
(3 * 4 + x * 4) = -1(2x + -2) + 22
(12 + 4x) = -1(2x + -2) + 22

Reorder the terms:
12 + 4x = -1(-2 + 2x) + 22
12 + 4x = (-2 * -1 + 2x * -1) + 22
12 + 4x = (2 + -2x) + 22

Reorder the terms:
12 + 4x = 2 + 22 + -2x

Combine like terms: 2 + 22 = 24
12 + 4x = 24 + -2x

Solving
12 + 4x = 24 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
12 + 4x + 2x = 24 + -2x + 2x

Combine like terms: 4x + 2x = 6x
12 + 6x = 24 + -2x + 2x

Combine like terms: -2x + 2x = 0
12 + 6x = 24 + 0
12 + 6x = 24

Add '-12' to each side of the equation.
12 + -12 + 6x = 24 + -12

Combine like terms: 12 + -12 = 0
0 + 6x = 24 + -12
6x = 24 + -12

Combine like terms: 24 + -12 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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