3x-2[x-1]=3-x

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Solution for 3x-2[x-1]=3-x equation:


Simplifying
3x + -2[x + -1] = 3 + -1x

Reorder the terms:
3x + -2[-1 + x] = 3 + -1x
3x + [-1 * -2 + x * -2] = 3 + -1x
3x + [2 + -2x] = 3 + -1x

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

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

Solving
2 + 1x = 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.
2 + 1x + x = 3 + -1x + x

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

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

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

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

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

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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