2-3x+1=5-x+3

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Solution for 2-3x+1=5-x+3 equation:


Simplifying
2 + -3x + 1 = 5 + -1x + 3

Reorder the terms:
2 + 1 + -3x = 5 + -1x + 3

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

Reorder the terms:
3 + -3x = 5 + 3 + -1x

Combine like terms: 5 + 3 = 8
3 + -3x = 8 + -1x

Solving
3 + -3x = 8 + -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.
3 + -3x + x = 8 + -1x + x

Combine like terms: -3x + x = -2x
3 + -2x = 8 + -1x + x

Combine like terms: -1x + x = 0
3 + -2x = 8 + 0
3 + -2x = 8

Add '-3' to each side of the equation.
3 + -3 + -2x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 8 + -3
-2x = 8 + -3

Combine like terms: 8 + -3 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

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