12(3x+5)-7(2x-4)=2x-52

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Solution for 12(3x+5)-7(2x-4)=2x-52 equation:


Simplifying
12(3x + 5) + -7(2x + -4) = 2x + -52

Reorder the terms:
12(5 + 3x) + -7(2x + -4) = 2x + -52
(5 * 12 + 3x * 12) + -7(2x + -4) = 2x + -52
(60 + 36x) + -7(2x + -4) = 2x + -52

Reorder the terms:
60 + 36x + -7(-4 + 2x) = 2x + -52
60 + 36x + (-4 * -7 + 2x * -7) = 2x + -52
60 + 36x + (28 + -14x) = 2x + -52

Reorder the terms:
60 + 28 + 36x + -14x = 2x + -52

Combine like terms: 60 + 28 = 88
88 + 36x + -14x = 2x + -52

Combine like terms: 36x + -14x = 22x
88 + 22x = 2x + -52

Reorder the terms:
88 + 22x = -52 + 2x

Solving
88 + 22x = -52 + 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.
88 + 22x + -2x = -52 + 2x + -2x

Combine like terms: 22x + -2x = 20x
88 + 20x = -52 + 2x + -2x

Combine like terms: 2x + -2x = 0
88 + 20x = -52 + 0
88 + 20x = -52

Add '-88' to each side of the equation.
88 + -88 + 20x = -52 + -88

Combine like terms: 88 + -88 = 0
0 + 20x = -52 + -88
20x = -52 + -88

Combine like terms: -52 + -88 = -140
20x = -140

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

Simplifying
x = -7

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