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

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


Simplifying
x2 + 3x + -1(x + -2) = 2(x + -1) + (x2 + -1x)

Reorder the terms:
x2 + 3x + -1(-2 + x) = 2(x + -1) + (x2 + -1x)
x2 + 3x + (-2 * -1 + x * -1) = 2(x + -1) + (x2 + -1x)
x2 + 3x + (2 + -1x) = 2(x + -1) + (x2 + -1x)

Reorder the terms:
2 + 3x + -1x + x2 = 2(x + -1) + (x2 + -1x)

Combine like terms: 3x + -1x = 2x
2 + 2x + x2 = 2(x + -1) + (x2 + -1x)

Reorder the terms:
2 + 2x + x2 = 2(-1 + x) + (x2 + -1x)
2 + 2x + x2 = (-1 * 2 + x * 2) + (x2 + -1x)
2 + 2x + x2 = (-2 + 2x) + (x2 + -1x)

Reorder the terms:
2 + 2x + x2 = -2 + 2x + (-1x + x2)

Remove parenthesis around (-1x + x2)
2 + 2x + x2 = -2 + 2x + -1x + x2

Combine like terms: 2x + -1x = 1x
2 + 2x + x2 = -2 + 1x + x2

Add '-1x2' to each side of the equation.
2 + 2x + x2 + -1x2 = -2 + 1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2 + 2x + 0 = -2 + 1x + x2 + -1x2
2 + 2x = -2 + 1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2 + 2x = -2 + 1x + 0
2 + 2x = -2 + 1x

Solving
2 + 2x = -2 + 1x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '1'.
x = -4

Simplifying
x = -4

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