12(3x+4)-5(2x-6)=6x-42

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Solution for 12(3x+4)-5(2x-6)=6x-42 equation:


Simplifying
12(3x + 4) + -5(2x + -6) = 6x + -42

Reorder the terms:
12(4 + 3x) + -5(2x + -6) = 6x + -42
(4 * 12 + 3x * 12) + -5(2x + -6) = 6x + -42
(48 + 36x) + -5(2x + -6) = 6x + -42

Reorder the terms:
48 + 36x + -5(-6 + 2x) = 6x + -42
48 + 36x + (-6 * -5 + 2x * -5) = 6x + -42
48 + 36x + (30 + -10x) = 6x + -42

Reorder the terms:
48 + 30 + 36x + -10x = 6x + -42

Combine like terms: 48 + 30 = 78
78 + 36x + -10x = 6x + -42

Combine like terms: 36x + -10x = 26x
78 + 26x = 6x + -42

Reorder the terms:
78 + 26x = -42 + 6x

Solving
78 + 26x = -42 + 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.
78 + 26x + -6x = -42 + 6x + -6x

Combine like terms: 26x + -6x = 20x
78 + 20x = -42 + 6x + -6x

Combine like terms: 6x + -6x = 0
78 + 20x = -42 + 0
78 + 20x = -42

Add '-78' to each side of the equation.
78 + -78 + 20x = -42 + -78

Combine like terms: 78 + -78 = 0
0 + 20x = -42 + -78
20x = -42 + -78

Combine like terms: -42 + -78 = -120
20x = -120

Divide each side by '20'.
x = -6

Simplifying
x = -6

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