12(3x+3)-5(2x-7)=6x-29

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Solution for 12(3x+3)-5(2x-7)=6x-29 equation:


Simplifying
12(3x + 3) + -5(2x + -7) = 6x + -29

Reorder the terms:
12(3 + 3x) + -5(2x + -7) = 6x + -29
(3 * 12 + 3x * 12) + -5(2x + -7) = 6x + -29
(36 + 36x) + -5(2x + -7) = 6x + -29

Reorder the terms:
36 + 36x + -5(-7 + 2x) = 6x + -29
36 + 36x + (-7 * -5 + 2x * -5) = 6x + -29
36 + 36x + (35 + -10x) = 6x + -29

Reorder the terms:
36 + 35 + 36x + -10x = 6x + -29

Combine like terms: 36 + 35 = 71
71 + 36x + -10x = 6x + -29

Combine like terms: 36x + -10x = 26x
71 + 26x = 6x + -29

Reorder the terms:
71 + 26x = -29 + 6x

Solving
71 + 26x = -29 + 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.
71 + 26x + -6x = -29 + 6x + -6x

Combine like terms: 26x + -6x = 20x
71 + 20x = -29 + 6x + -6x

Combine like terms: 6x + -6x = 0
71 + 20x = -29 + 0
71 + 20x = -29

Add '-71' to each side of the equation.
71 + -71 + 20x = -29 + -71

Combine like terms: 71 + -71 = 0
0 + 20x = -29 + -71
20x = -29 + -71

Combine like terms: -29 + -71 = -100
20x = -100

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

Simplifying
x = -5

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