12(3x+6)-6(2x-7)=4x-25

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Solution for 12(3x+6)-6(2x-7)=4x-25 equation:


Simplifying
12(3x + 6) + -6(2x + -7) = 4x + -25

Reorder the terms:
12(6 + 3x) + -6(2x + -7) = 4x + -25
(6 * 12 + 3x * 12) + -6(2x + -7) = 4x + -25
(72 + 36x) + -6(2x + -7) = 4x + -25

Reorder the terms:
72 + 36x + -6(-7 + 2x) = 4x + -25
72 + 36x + (-7 * -6 + 2x * -6) = 4x + -25
72 + 36x + (42 + -12x) = 4x + -25

Reorder the terms:
72 + 42 + 36x + -12x = 4x + -25

Combine like terms: 72 + 42 = 114
114 + 36x + -12x = 4x + -25

Combine like terms: 36x + -12x = 24x
114 + 24x = 4x + -25

Reorder the terms:
114 + 24x = -25 + 4x

Solving
114 + 24x = -25 + 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.
114 + 24x + -4x = -25 + 4x + -4x

Combine like terms: 24x + -4x = 20x
114 + 20x = -25 + 4x + -4x

Combine like terms: 4x + -4x = 0
114 + 20x = -25 + 0
114 + 20x = -25

Add '-114' to each side of the equation.
114 + -114 + 20x = -25 + -114

Combine like terms: 114 + -114 = 0
0 + 20x = -25 + -114
20x = -25 + -114

Combine like terms: -25 + -114 = -139
20x = -139

Divide each side by '20'.
x = -6.95

Simplifying
x = -6.95

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