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

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


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

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

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

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

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

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

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

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

Solving
1 + 2x = -1

Solving for variable 'x'.

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

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

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

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

Divide each side by '2'.
x = -1

Simplifying
x = -1

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