12(3x+6)-5(2x-3)=6x-53

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Solution for 12(3x+6)-5(2x-3)=6x-53 equation:


Simplifying
12(3x + 6) + -5(2x + -3) = 6x + -53

Reorder the terms:
12(6 + 3x) + -5(2x + -3) = 6x + -53
(6 * 12 + 3x * 12) + -5(2x + -3) = 6x + -53
(72 + 36x) + -5(2x + -3) = 6x + -53

Reorder the terms:
72 + 36x + -5(-3 + 2x) = 6x + -53
72 + 36x + (-3 * -5 + 2x * -5) = 6x + -53
72 + 36x + (15 + -10x) = 6x + -53

Reorder the terms:
72 + 15 + 36x + -10x = 6x + -53

Combine like terms: 72 + 15 = 87
87 + 36x + -10x = 6x + -53

Combine like terms: 36x + -10x = 26x
87 + 26x = 6x + -53

Reorder the terms:
87 + 26x = -53 + 6x

Solving
87 + 26x = -53 + 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.
87 + 26x + -6x = -53 + 6x + -6x

Combine like terms: 26x + -6x = 20x
87 + 20x = -53 + 6x + -6x

Combine like terms: 6x + -6x = 0
87 + 20x = -53 + 0
87 + 20x = -53

Add '-87' to each side of the equation.
87 + -87 + 20x = -53 + -87

Combine like terms: 87 + -87 = 0
0 + 20x = -53 + -87
20x = -53 + -87

Combine like terms: -53 + -87 = -140
20x = -140

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

Simplifying
x = -7

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