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

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


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

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

Reorder the terms:
36 + 36x + -5(-3 + 2x) = 6x + -29
36 + 36x + (-3 * -5 + 2x * -5) = 6x + -29
36 + 36x + (15 + -10x) = 6x + -29

Reorder the terms:
36 + 15 + 36x + -10x = 6x + -29

Combine like terms: 36 + 15 = 51
51 + 36x + -10x = 6x + -29

Combine like terms: 36x + -10x = 26x
51 + 26x = 6x + -29

Reorder the terms:
51 + 26x = -29 + 6x

Solving
51 + 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.
51 + 26x + -6x = -29 + 6x + -6x

Combine like terms: 26x + -6x = 20x
51 + 20x = -29 + 6x + -6x

Combine like terms: 6x + -6x = 0
51 + 20x = -29 + 0
51 + 20x = -29

Add '-51' to each side of the equation.
51 + -51 + 20x = -29 + -51

Combine like terms: 51 + -51 = 0
0 + 20x = -29 + -51
20x = -29 + -51

Combine like terms: -29 + -51 = -80
20x = -80

Divide each side by '20'.
x = -4

Simplifying
x = -4

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