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

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


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

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

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

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

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

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

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

Reorder the terms:
0 = -2 + 2x

Solving
0 = -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.
0 + -2x = -2 + 2x + -2x
Remove the zero:
-2x = -2 + 2x + -2x

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

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

Simplifying
x = 1

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