4(x-4)-4=-2(5x+3)-2x

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


Simplifying
4(x + -4) + -4 = -2(5x + 3) + -2x

Reorder the terms:
4(-4 + x) + -4 = -2(5x + 3) + -2x
(-4 * 4 + x * 4) + -4 = -2(5x + 3) + -2x
(-16 + 4x) + -4 = -2(5x + 3) + -2x

Reorder the terms:
-16 + -4 + 4x = -2(5x + 3) + -2x

Combine like terms: -16 + -4 = -20
-20 + 4x = -2(5x + 3) + -2x

Reorder the terms:
-20 + 4x = -2(3 + 5x) + -2x
-20 + 4x = (3 * -2 + 5x * -2) + -2x
-20 + 4x = (-6 + -10x) + -2x

Combine like terms: -10x + -2x = -12x
-20 + 4x = -6 + -12x

Solving
-20 + 4x = -6 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-20 + 4x + 12x = -6 + -12x + 12x

Combine like terms: 4x + 12x = 16x
-20 + 16x = -6 + -12x + 12x

Combine like terms: -12x + 12x = 0
-20 + 16x = -6 + 0
-20 + 16x = -6

Add '20' to each side of the equation.
-20 + 20 + 16x = -6 + 20

Combine like terms: -20 + 20 = 0
0 + 16x = -6 + 20
16x = -6 + 20

Combine like terms: -6 + 20 = 14
16x = 14

Divide each side by '16'.
x = 0.875

Simplifying
x = 0.875

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