8-1x=3x+2(x-4)

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Solution for 8-1x=3x+2(x-4) equation: 


Simplifying
8 + -1x = 3x + 2(x + -4)

Reorder the terms:
8 + -1x = 3x + 2(-4 + x)
8 + -1x = 3x + (-4 * 2 + x * 2)
8 + -1x = 3x + (-8 + 2x)

Reorder the terms:
8 + -1x = -8 + 3x + 2x

Combine like terms: 3x + 2x = 5x
8 + -1x = -8 + 5x

Solving
8 + -1x = -8 + 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.
8 + -1x + -5x = -8 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
8 + -6x = -8 + 0
8 + -6x = -8

Add '-8' to each side of the equation.
8 + -8 + -6x = -8 + -8

Combine like terms: 8 + -8 = 0
0 + -6x = -8 + -8
-6x = -8 + -8

Combine like terms: -8 + -8 = -16
-6x = -16

Divide each side by '-6'.
x = 2.666666667

Simplifying
x = 2.666666667

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