12-2x=-(x-4)

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Solution for 12-2x=-(x-4) equation:


Simplifying
12 + -2x = -1(x + -4)

Reorder the terms:
12 + -2x = -1(-4 + x)
12 + -2x = (-4 * -1 + x * -1)
12 + -2x = (4 + -1x)

Solving
12 + -2x = 4 + -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.
12 + -2x + x = 4 + -1x + x

Combine like terms: -2x + x = -1x
12 + -1x = 4 + -1x + x

Combine like terms: -1x + x = 0
12 + -1x = 4 + 0
12 + -1x = 4

Add '-12' to each side of the equation.
12 + -12 + -1x = 4 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 4 + -12
-1x = 4 + -12

Combine like terms: 4 + -12 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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