x-1=2x-2

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Solution for x-1=2x-2 equation:


Simplifying
x + -1 = 2x + -2

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

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

Solving
-1 + x = -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.
-1 + x + -2x = -2 + 2x + -2x

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

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

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

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

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

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

Simplifying
x = 1

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