2(x-4)-8=-4(-7x+3)-8x

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Solution for 2(x-4)-8=-4(-7x+3)-8x equation:


Simplifying
2(x + -4) + -8 = -4(-7x + 3) + -8x

Reorder the terms:
2(-4 + x) + -8 = -4(-7x + 3) + -8x
(-4 * 2 + x * 2) + -8 = -4(-7x + 3) + -8x
(-8 + 2x) + -8 = -4(-7x + 3) + -8x

Reorder the terms:
-8 + -8 + 2x = -4(-7x + 3) + -8x

Combine like terms: -8 + -8 = -16
-16 + 2x = -4(-7x + 3) + -8x

Reorder the terms:
-16 + 2x = -4(3 + -7x) + -8x
-16 + 2x = (3 * -4 + -7x * -4) + -8x
-16 + 2x = (-12 + 28x) + -8x

Combine like terms: 28x + -8x = 20x
-16 + 2x = -12 + 20x

Solving
-16 + 2x = -12 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-16 + 2x + -20x = -12 + 20x + -20x

Combine like terms: 2x + -20x = -18x
-16 + -18x = -12 + 20x + -20x

Combine like terms: 20x + -20x = 0
-16 + -18x = -12 + 0
-16 + -18x = -12

Add '16' to each side of the equation.
-16 + 16 + -18x = -12 + 16

Combine like terms: -16 + 16 = 0
0 + -18x = -12 + 16
-18x = -12 + 16

Combine like terms: -12 + 16 = 4
-18x = 4

Divide each side by '-18'.
x = -0.2222222222

Simplifying
x = -0.2222222222

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