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

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


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

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

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

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

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

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

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

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

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

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

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

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