12(3x+5)-5(2x-6)=6x-50

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Solution for 12(3x+5)-5(2x-6)=6x-50 equation: 


Simplifying
12(3x + 5) + -5(2x + -6) = 6x + -50

Reorder the terms:
12(5 + 3x) + -5(2x + -6) = 6x + -50
(5 * 12 + 3x * 12) + -5(2x + -6) = 6x + -50
(60 + 36x) + -5(2x + -6) = 6x + -50

Reorder the terms:
60 + 36x + -5(-6 + 2x) = 6x + -50
60 + 36x + (-6 * -5 + 2x * -5) = 6x + -50
60 + 36x + (30 + -10x) = 6x + -50

Reorder the terms:
60 + 30 + 36x + -10x = 6x + -50

Combine like terms: 60 + 30 = 90
90 + 36x + -10x = 6x + -50

Combine like terms: 36x + -10x = 26x
90 + 26x = 6x + -50

Reorder the terms:
90 + 26x = -50 + 6x

Solving
90 + 26x = -50 + 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.
90 + 26x + -6x = -50 + 6x + -6x

Combine like terms: 26x + -6x = 20x
90 + 20x = -50 + 6x + -6x

Combine like terms: 6x + -6x = 0
90 + 20x = -50 + 0
90 + 20x = -50

Add '-90' to each side of the equation.
90 + -90 + 20x = -50 + -90

Combine like terms: 90 + -90 = 0
0 + 20x = -50 + -90
20x = -50 + -90

Combine like terms: -50 + -90 = -140
20x = -140

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

Simplifying
x = -7

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