-3(2x-6)=8-x

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Solution for -3(2x-6)=8-x equation:


Simplifying
-3(2x + -6) = 8 + -1x

Reorder the terms:
-3(-6 + 2x) = 8 + -1x
(-6 * -3 + 2x * -3) = 8 + -1x
(18 + -6x) = 8 + -1x

Solving
18 + -6x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
18 + -6x + x = 8 + -1x + x

Combine like terms: -6x + x = -5x
18 + -5x = 8 + -1x + x

Combine like terms: -1x + x = 0
18 + -5x = 8 + 0
18 + -5x = 8

Add '-18' to each side of the equation.
18 + -18 + -5x = 8 + -18

Combine like terms: 18 + -18 = 0
0 + -5x = 8 + -18
-5x = 8 + -18

Combine like terms: 8 + -18 = -10
-5x = -10

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

Simplifying
x = 2

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