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

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


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

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

Reorder the terms:
1 + 3 + x + -3x = 1 + -1x

Combine like terms: 1 + 3 = 4
4 + x + -3x = 1 + -1x

Combine like terms: x + -3x = -2x
4 + -2x = 1 + -1x

Solving
4 + -2x = 1 + -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.
4 + -2x + x = 1 + -1x + x

Combine like terms: -2x + x = -1x
4 + -1x = 1 + -1x + x

Combine like terms: -1x + x = 0
4 + -1x = 1 + 0
4 + -1x = 1

Add '-4' to each side of the equation.
4 + -4 + -1x = 1 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 1 + -4
-1x = 1 + -4

Combine like terms: 1 + -4 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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