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

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


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

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

Reorder the terms:
2 + -6x = -2 + 8x + -1x

Combine like terms: 8x + -1x = 7x
2 + -6x = -2 + 7x

Solving
2 + -6x = -2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
2 + -6x + -7x = -2 + 7x + -7x

Combine like terms: -6x + -7x = -13x
2 + -13x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + -13x = -2 + 0
2 + -13x = -2

Add '-2' to each side of the equation.
2 + -2 + -13x = -2 + -2

Combine like terms: 2 + -2 = 0
0 + -13x = -2 + -2
-13x = -2 + -2

Combine like terms: -2 + -2 = -4
-13x = -4

Divide each side by '-13'.
x = 0.3076923077

Simplifying
x = 0.3076923077

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