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

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


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

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

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

Reorder the terms:
3 + -2x = 3(-3 + x) + -1x
3 + -2x = (-3 * 3 + x * 3) + -1x
3 + -2x = (-9 + 3x) + -1x

Combine like terms: 3x + -1x = 2x
3 + -2x = -9 + 2x

Solving
3 + -2x = -9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + -2x + -2x = -9 + 2x + -2x

Combine like terms: -2x + -2x = -4x
3 + -4x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -4x = -9 + 0
3 + -4x = -9

Add '-3' to each side of the equation.
3 + -3 + -4x = -9 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = -9 + -3
-4x = -9 + -3

Combine like terms: -9 + -3 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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