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

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


Simplifying
5 + -2x = -1(3 + -1x) + 1
5 + -2x = (3 * -1 + -1x * -1) + 1
5 + -2x = (-3 + 1x) + 1

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

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

Solving
5 + -2x = -2 + 1x

Solving for variable 'x'.

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

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

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

Combine like terms: 1x + -1x = 0
5 + -3x = -2 + 0
5 + -3x = -2

Add '-5' to each side of the equation.
5 + -5 + -3x = -2 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -2 + -5
-3x = -2 + -5

Combine like terms: -2 + -5 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333

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