12(3x+3)-7(2x-4)=2x-76

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Solution for 12(3x+3)-7(2x-4)=2x-76 equation:


Simplifying
12(3x + 3) + -7(2x + -4) = 2x + -76

Reorder the terms:
12(3 + 3x) + -7(2x + -4) = 2x + -76
(3 * 12 + 3x * 12) + -7(2x + -4) = 2x + -76
(36 + 36x) + -7(2x + -4) = 2x + -76

Reorder the terms:
36 + 36x + -7(-4 + 2x) = 2x + -76
36 + 36x + (-4 * -7 + 2x * -7) = 2x + -76
36 + 36x + (28 + -14x) = 2x + -76

Reorder the terms:
36 + 28 + 36x + -14x = 2x + -76

Combine like terms: 36 + 28 = 64
64 + 36x + -14x = 2x + -76

Combine like terms: 36x + -14x = 22x
64 + 22x = 2x + -76

Reorder the terms:
64 + 22x = -76 + 2x

Solving
64 + 22x = -76 + 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.
64 + 22x + -2x = -76 + 2x + -2x

Combine like terms: 22x + -2x = 20x
64 + 20x = -76 + 2x + -2x

Combine like terms: 2x + -2x = 0
64 + 20x = -76 + 0
64 + 20x = -76

Add '-64' to each side of the equation.
64 + -64 + 20x = -76 + -64

Combine like terms: 64 + -64 = 0
0 + 20x = -76 + -64
20x = -76 + -64

Combine like terms: -76 + -64 = -140
20x = -140

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

Simplifying
x = -7

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