12(3x+4)-7(2x-6)=2x-30

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Solution for 12(3x+4)-7(2x-6)=2x-30 equation:


Simplifying
12(3x + 4) + -7(2x + -6) = 2x + -30

Reorder the terms:
12(4 + 3x) + -7(2x + -6) = 2x + -30
(4 * 12 + 3x * 12) + -7(2x + -6) = 2x + -30
(48 + 36x) + -7(2x + -6) = 2x + -30

Reorder the terms:
48 + 36x + -7(-6 + 2x) = 2x + -30
48 + 36x + (-6 * -7 + 2x * -7) = 2x + -30
48 + 36x + (42 + -14x) = 2x + -30

Reorder the terms:
48 + 42 + 36x + -14x = 2x + -30

Combine like terms: 48 + 42 = 90
90 + 36x + -14x = 2x + -30

Combine like terms: 36x + -14x = 22x
90 + 22x = 2x + -30

Reorder the terms:
90 + 22x = -30 + 2x

Solving
90 + 22x = -30 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
90 + 22x + -2x = -30 + 2x + -2x

Combine like terms: 22x + -2x = 20x
90 + 20x = -30 + 2x + -2x

Combine like terms: 2x + -2x = 0
90 + 20x = -30 + 0
90 + 20x = -30

Add '-90' to each side of the equation.
90 + -90 + 20x = -30 + -90

Combine like terms: 90 + -90 = 0
0 + 20x = -30 + -90
20x = -30 + -90

Combine like terms: -30 + -90 = -120
20x = -120

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

Simplifying
x = -6

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