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

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


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

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

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

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

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

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

Remove parenthesis around (-1x)
4 = x + -2 + -1 * -1x

Multiply -1 * -1
4 = x + -2 + 1x

Reorder the terms:
4 = -2 + x + 1x

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

Solving
4 = -2 + 2x

Solving for variable 'x'.

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

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

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

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

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

Combine like terms: -2 + -4 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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