8x+20=3(2x-12)-x

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Solution for 8x+20=3(2x-12)-x equation:


Simplifying
8x + 20 = 3(2x + -12) + -1x

Reorder the terms:
20 + 8x = 3(2x + -12) + -1x

Reorder the terms:
20 + 8x = 3(-12 + 2x) + -1x
20 + 8x = (-12 * 3 + 2x * 3) + -1x
20 + 8x = (-36 + 6x) + -1x

Combine like terms: 6x + -1x = 5x
20 + 8x = -36 + 5x

Solving
20 + 8x = -36 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
20 + 8x + -5x = -36 + 5x + -5x

Combine like terms: 8x + -5x = 3x
20 + 3x = -36 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + 3x = -36 + 0
20 + 3x = -36

Add '-20' to each side of the equation.
20 + -20 + 3x = -36 + -20

Combine like terms: 20 + -20 = 0
0 + 3x = -36 + -20
3x = -36 + -20

Combine like terms: -36 + -20 = -56
3x = -56

Divide each side by '3'.
x = -18.66666667

Simplifying
x = -18.66666667

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