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

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


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

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

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

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

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

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

Solving
2x = 1x

Solving for variable 'x'.

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

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

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

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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