12(3x+5)-7(2x-7)=2x-31

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Solution for 12(3x+5)-7(2x-7)=2x-31 equation:


Simplifying
12(3x + 5) + -7(2x + -7) = 2x + -31

Reorder the terms:
12(5 + 3x) + -7(2x + -7) = 2x + -31
(5 * 12 + 3x * 12) + -7(2x + -7) = 2x + -31
(60 + 36x) + -7(2x + -7) = 2x + -31

Reorder the terms:
60 + 36x + -7(-7 + 2x) = 2x + -31
60 + 36x + (-7 * -7 + 2x * -7) = 2x + -31
60 + 36x + (49 + -14x) = 2x + -31

Reorder the terms:
60 + 49 + 36x + -14x = 2x + -31

Combine like terms: 60 + 49 = 109
109 + 36x + -14x = 2x + -31

Combine like terms: 36x + -14x = 22x
109 + 22x = 2x + -31

Reorder the terms:
109 + 22x = -31 + 2x

Solving
109 + 22x = -31 + 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.
109 + 22x + -2x = -31 + 2x + -2x

Combine like terms: 22x + -2x = 20x
109 + 20x = -31 + 2x + -2x

Combine like terms: 2x + -2x = 0
109 + 20x = -31 + 0
109 + 20x = -31

Add '-109' to each side of the equation.
109 + -109 + 20x = -31 + -109

Combine like terms: 109 + -109 = 0
0 + 20x = -31 + -109
20x = -31 + -109

Combine like terms: -31 + -109 = -140
20x = -140

Divide each side by '20'.
x = -7

Simplifying
x = -7

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