2(x-1)-3x=x-12

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Solution for 2(x-1)-3x=x-12 equation:


Simplifying
2(x + -1) + -3x = x + -12

Reorder the terms:
2(-1 + x) + -3x = x + -12
(-1 * 2 + x * 2) + -3x = x + -12
(-2 + 2x) + -3x = x + -12

Combine like terms: 2x + -3x = -1x
-2 + -1x = x + -12

Reorder the terms:
-2 + -1x = -12 + x

Solving
-2 + -1x = -12 + x

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 + -1x + -1x = -12 + x + -1x

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

Combine like terms: x + -1x = 0
-2 + -2x = -12 + 0
-2 + -2x = -12

Add '2' to each side of the equation.
-2 + 2 + -2x = -12 + 2

Combine like terms: -2 + 2 = 0
0 + -2x = -12 + 2
-2x = -12 + 2

Combine like terms: -12 + 2 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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