2x+3-x+1=4x-2-2x+1

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Solution for 2x+3-x+1=4x-2-2x+1 equation: 


Simplifying
2x + 3 + -1x + 1 = 4x + -2 + -2x + 1

Reorder the terms:
3 + 1 + 2x + -1x = 4x + -2 + -2x + 1

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

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

Reorder the terms:
4 + 1x = -2 + 1 + 4x + -2x

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

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

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

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

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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