20-3x=-4(7x+3)-4(-5-6x)

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Solution for 20-3x=-4(7x+3)-4(-5-6x) equation:


Simplifying
20 + -3x = -4(7x + 3) + -4(-5 + -6x)

Reorder the terms:
20 + -3x = -4(3 + 7x) + -4(-5 + -6x)
20 + -3x = (3 * -4 + 7x * -4) + -4(-5 + -6x)
20 + -3x = (-12 + -28x) + -4(-5 + -6x)
20 + -3x = -12 + -28x + (-5 * -4 + -6x * -4)
20 + -3x = -12 + -28x + (20 + 24x)

Reorder the terms:
20 + -3x = -12 + 20 + -28x + 24x

Combine like terms: -12 + 20 = 8
20 + -3x = 8 + -28x + 24x

Combine like terms: -28x + 24x = -4x
20 + -3x = 8 + -4x

Solving
20 + -3x = 8 + -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.
20 + -3x + 4x = 8 + -4x + 4x

Combine like terms: -3x + 4x = 1x
20 + 1x = 8 + -4x + 4x

Combine like terms: -4x + 4x = 0
20 + 1x = 8 + 0
20 + 1x = 8

Add '-20' to each side of the equation.
20 + -20 + 1x = 8 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = 8 + -20
1x = 8 + -20

Combine like terms: 8 + -20 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12

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