12(3x+3)-7(2x-7)=2x-15

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Solution for 12(3x+3)-7(2x-7)=2x-15 equation:


Simplifying
12(3x + 3) + -7(2x + -7) = 2x + -15

Reorder the terms:
12(3 + 3x) + -7(2x + -7) = 2x + -15
(3 * 12 + 3x * 12) + -7(2x + -7) = 2x + -15
(36 + 36x) + -7(2x + -7) = 2x + -15

Reorder the terms:
36 + 36x + -7(-7 + 2x) = 2x + -15
36 + 36x + (-7 * -7 + 2x * -7) = 2x + -15
36 + 36x + (49 + -14x) = 2x + -15

Reorder the terms:
36 + 49 + 36x + -14x = 2x + -15

Combine like terms: 36 + 49 = 85
85 + 36x + -14x = 2x + -15

Combine like terms: 36x + -14x = 22x
85 + 22x = 2x + -15

Reorder the terms:
85 + 22x = -15 + 2x

Solving
85 + 22x = -15 + 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.
85 + 22x + -2x = -15 + 2x + -2x

Combine like terms: 22x + -2x = 20x
85 + 20x = -15 + 2x + -2x

Combine like terms: 2x + -2x = 0
85 + 20x = -15 + 0
85 + 20x = -15

Add '-85' to each side of the equation.
85 + -85 + 20x = -15 + -85

Combine like terms: 85 + -85 = 0
0 + 20x = -15 + -85
20x = -15 + -85

Combine like terms: -15 + -85 = -100
20x = -100

Divide each side by '20'.
x = -5

Simplifying
x = -5

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