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

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


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

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

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

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

Solving
4 + -3x = 3 + -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.
4 + -3x + x = 3 + -1x + x

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

Combine like terms: -1x + x = 0
4 + -2x = 3 + 0
4 + -2x = 3

Add '-4' to each side of the equation.
4 + -4 + -2x = 3 + -4

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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