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

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


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

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

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

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

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

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

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

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

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

Combine like terms: -2x + 2x = 0
-3 + 5x = 2 + 0
-3 + 5x = 2

Add '3' to each side of the equation.
-3 + 3 + 5x = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 2 + 3
5x = 2 + 3

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

Divide each side by '5'.
x = 1

Simplifying
x = 1

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