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

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


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

Reorder the terms:
2(-7 + x) + -8 = -3(-8x + 4) + -4x
(-7 * 2 + x * 2) + -8 = -3(-8x + 4) + -4x
(-14 + 2x) + -8 = -3(-8x + 4) + -4x

Reorder the terms:
-14 + -8 + 2x = -3(-8x + 4) + -4x

Combine like terms: -14 + -8 = -22
-22 + 2x = -3(-8x + 4) + -4x

Reorder the terms:
-22 + 2x = -3(4 + -8x) + -4x
-22 + 2x = (4 * -3 + -8x * -3) + -4x
-22 + 2x = (-12 + 24x) + -4x

Combine like terms: 24x + -4x = 20x
-22 + 2x = -12 + 20x

Solving
-22 + 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.
-22 + 2x + -20x = -12 + 20x + -20x

Combine like terms: 2x + -20x = -18x
-22 + -18x = -12 + 20x + -20x

Combine like terms: 20x + -20x = 0
-22 + -18x = -12 + 0
-22 + -18x = -12

Add '22' to each side of the equation.
-22 + 22 + -18x = -12 + 22

Combine like terms: -22 + 22 = 0
0 + -18x = -12 + 22
-18x = -12 + 22

Combine like terms: -12 + 22 = 10
-18x = 10

Divide each side by '-18'.
x = -0.5555555556

Simplifying
x = -0.5555555556

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