12(3x+5)-6(2x-5)=4x-50

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Solution for 12(3x+5)-6(2x-5)=4x-50 equation:


Simplifying
12(3x + 5) + -6(2x + -5) = 4x + -50

Reorder the terms:
12(5 + 3x) + -6(2x + -5) = 4x + -50
(5 * 12 + 3x * 12) + -6(2x + -5) = 4x + -50
(60 + 36x) + -6(2x + -5) = 4x + -50

Reorder the terms:
60 + 36x + -6(-5 + 2x) = 4x + -50
60 + 36x + (-5 * -6 + 2x * -6) = 4x + -50
60 + 36x + (30 + -12x) = 4x + -50

Reorder the terms:
60 + 30 + 36x + -12x = 4x + -50

Combine like terms: 60 + 30 = 90
90 + 36x + -12x = 4x + -50

Combine like terms: 36x + -12x = 24x
90 + 24x = 4x + -50

Reorder the terms:
90 + 24x = -50 + 4x

Solving
90 + 24x = -50 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
90 + 24x + -4x = -50 + 4x + -4x

Combine like terms: 24x + -4x = 20x
90 + 20x = -50 + 4x + -4x

Combine like terms: 4x + -4x = 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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