12-(x-1)=2x-2

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Solution for 12-(x-1)=2x-2 equation:


Simplifying
12 + -1(x + -1) = 2x + -2

Reorder the terms:
12 + -1(-1 + x) = 2x + -2
12 + (-1 * -1 + x * -1) = 2x + -2
12 + (1 + -1x) = 2x + -2

Combine like terms: 12 + 1 = 13
13 + -1x = 2x + -2

Reorder the terms:
13 + -1x = -2 + 2x

Solving
13 + -1x = -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.
13 + -1x + -2x = -2 + 2x + -2x

Combine like terms: -1x + -2x = -3x
13 + -3x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
13 + -3x = -2 + 0
13 + -3x = -2

Add '-13' to each side of the equation.
13 + -13 + -3x = -2 + -13

Combine like terms: 13 + -13 = 0
0 + -3x = -2 + -13
-3x = -2 + -13

Combine like terms: -2 + -13 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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