12(3x+4)-5(2x-2)=6x-22

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Solution for 12(3x+4)-5(2x-2)=6x-22 equation:


Simplifying
12(3x + 4) + -5(2x + -2) = 6x + -22

Reorder the terms:
12(4 + 3x) + -5(2x + -2) = 6x + -22
(4 * 12 + 3x * 12) + -5(2x + -2) = 6x + -22
(48 + 36x) + -5(2x + -2) = 6x + -22

Reorder the terms:
48 + 36x + -5(-2 + 2x) = 6x + -22
48 + 36x + (-2 * -5 + 2x * -5) = 6x + -22
48 + 36x + (10 + -10x) = 6x + -22

Reorder the terms:
48 + 10 + 36x + -10x = 6x + -22

Combine like terms: 48 + 10 = 58
58 + 36x + -10x = 6x + -22

Combine like terms: 36x + -10x = 26x
58 + 26x = 6x + -22

Reorder the terms:
58 + 26x = -22 + 6x

Solving
58 + 26x = -22 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
58 + 26x + -6x = -22 + 6x + -6x

Combine like terms: 26x + -6x = 20x
58 + 20x = -22 + 6x + -6x

Combine like terms: 6x + -6x = 0
58 + 20x = -22 + 0
58 + 20x = -22

Add '-58' to each side of the equation.
58 + -58 + 20x = -22 + -58

Combine like terms: 58 + -58 = 0
0 + 20x = -22 + -58
20x = -22 + -58

Combine like terms: -22 + -58 = -80
20x = -80

Divide each side by '20'.
x = -4

Simplifying
x = -4

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