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

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


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

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

Solving
2 + -2x = 1 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
2 + -2x + 3x = 1 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
2 + 1x = 1 + 0
2 + 1x = 1

Add '-2' to each side of the equation.
2 + -2 + 1x = 1 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 1 + -2
1x = 1 + -2

Combine like terms: 1 + -2 = -1
1x = -1

Divide each side by '1'.
x = -1

Simplifying
x = -1

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