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

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


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

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

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

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

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

Combine like terms: 2x + 3x = 5x
1 + 2x = 1 + 5x

Add '-1' to each side of the equation.
1 + -1 + 2x = 1 + -1 + 5x

Combine like terms: 1 + -1 = 0
0 + 2x = 1 + -1 + 5x
2x = 1 + -1 + 5x

Combine like terms: 1 + -1 = 0
2x = 0 + 5x
2x = 5x

Solving
2x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2x + -5x = 5x + -5x

Combine like terms: 2x + -5x = -3x
-3x = 5x + -5x

Combine like terms: 5x + -5x = 0
-3x = 0

Divide each side by '-3'.
x = 0

Simplifying
x = 0

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