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

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


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

Reorder the terms:
12 + -3x = -4(4 + 6x) + -4(-5 + -5x)
12 + -3x = (4 * -4 + 6x * -4) + -4(-5 + -5x)
12 + -3x = (-16 + -24x) + -4(-5 + -5x)
12 + -3x = -16 + -24x + (-5 * -4 + -5x * -4)
12 + -3x = -16 + -24x + (20 + 20x)

Reorder the terms:
12 + -3x = -16 + 20 + -24x + 20x

Combine like terms: -16 + 20 = 4
12 + -3x = 4 + -24x + 20x

Combine like terms: -24x + 20x = -4x
12 + -3x = 4 + -4x

Solving
12 + -3x = 4 + -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.
12 + -3x + 4x = 4 + -4x + 4x

Combine like terms: -3x + 4x = 1x
12 + 1x = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
12 + 1x = 4 + 0
12 + 1x = 4

Add '-12' to each side of the equation.
12 + -12 + 1x = 4 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 4 + -12
1x = 4 + -12

Combine like terms: 4 + -12 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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