-2(x-5)=12-x

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Solution for -2(x-5)=12-x equation:


Simplifying
-2(x + -5) = 12 + -1x

Reorder the terms:
-2(-5 + x) = 12 + -1x
(-5 * -2 + x * -2) = 12 + -1x
(10 + -2x) = 12 + -1x

Solving
10 + -2x = 12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
10 + -2x + x = 12 + -1x + x

Combine like terms: -2x + x = -1x
10 + -1x = 12 + -1x + x

Combine like terms: -1x + x = 0
10 + -1x = 12 + 0
10 + -1x = 12

Add '-10' to each side of the equation.
10 + -10 + -1x = 12 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 12 + -10
-1x = 12 + -10

Combine like terms: 12 + -10 = 2
-1x = 2

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

Simplifying
x = -2

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