8-3x=2(x-1)

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


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

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

Solving
8 + -3x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + -3x + -2x = -2 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
8 + -5x = -2 + 0
8 + -5x = -2

Add '-8' to each side of the equation.
8 + -8 + -5x = -2 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = -2 + -8
-5x = -2 + -8

Combine like terms: -2 + -8 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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