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

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Solution for 4(3x+2)+2(2x-1)=2x-22 equation: 


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

Reorder the terms:
4(2 + 3x) + 2(2x + -1) = 2x + -22
(2 * 4 + 3x * 4) + 2(2x + -1) = 2x + -22
(8 + 12x) + 2(2x + -1) = 2x + -22

Reorder the terms:
8 + 12x + 2(-1 + 2x) = 2x + -22
8 + 12x + (-1 * 2 + 2x * 2) = 2x + -22
8 + 12x + (-2 + 4x) = 2x + -22

Reorder the terms:
8 + -2 + 12x + 4x = 2x + -22

Combine like terms: 8 + -2 = 6
6 + 12x + 4x = 2x + -22

Combine like terms: 12x + 4x = 16x
6 + 16x = 2x + -22

Reorder the terms:
6 + 16x = -22 + 2x

Solving
6 + 16x = -22 + 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.
6 + 16x + -2x = -22 + 2x + -2x

Combine like terms: 16x + -2x = 14x
6 + 14x = -22 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 14x = -22 + 0
6 + 14x = -22

Add '-6' to each side of the equation.
6 + -6 + 14x = -22 + -6

Combine like terms: 6 + -6 = 0
0 + 14x = -22 + -6
14x = -22 + -6

Combine like terms: -22 + -6 = -28
14x = -28

Divide each side by '14'.
x = -2

Simplifying
x = -2

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