12(3x+5)-6(2x-4)=4x-56

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Solution for 12(3x+5)-6(2x-4)=4x-56 equation:


Simplifying
12(3x + 5) + -6(2x + -4) = 4x + -56

Reorder the terms:
12(5 + 3x) + -6(2x + -4) = 4x + -56
(5 * 12 + 3x * 12) + -6(2x + -4) = 4x + -56
(60 + 36x) + -6(2x + -4) = 4x + -56

Reorder the terms:
60 + 36x + -6(-4 + 2x) = 4x + -56
60 + 36x + (-4 * -6 + 2x * -6) = 4x + -56
60 + 36x + (24 + -12x) = 4x + -56

Reorder the terms:
60 + 24 + 36x + -12x = 4x + -56

Combine like terms: 60 + 24 = 84
84 + 36x + -12x = 4x + -56

Combine like terms: 36x + -12x = 24x
84 + 24x = 4x + -56

Reorder the terms:
84 + 24x = -56 + 4x

Solving
84 + 24x = -56 + 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.
84 + 24x + -4x = -56 + 4x + -4x

Combine like terms: 24x + -4x = 20x
84 + 20x = -56 + 4x + -4x

Combine like terms: 4x + -4x = 0
84 + 20x = -56 + 0
84 + 20x = -56

Add '-84' to each side of the equation.
84 + -84 + 20x = -56 + -84

Combine like terms: 84 + -84 = 0
0 + 20x = -56 + -84
20x = -56 + -84

Combine like terms: -56 + -84 = -140
20x = -140

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

Simplifying
x = -7

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