12-x=-5(x-4)

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Solution for 12-x=-5(x-4) equation:


Simplifying
12 + -1x = -5(x + -4)

Reorder the terms:
12 + -1x = -5(-4 + x)
12 + -1x = (-4 * -5 + x * -5)
12 + -1x = (20 + -5x)

Solving
12 + -1x = 20 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
12 + -1x + 5x = 20 + -5x + 5x

Combine like terms: -1x + 5x = 4x
12 + 4x = 20 + -5x + 5x

Combine like terms: -5x + 5x = 0
12 + 4x = 20 + 0
12 + 4x = 20

Add '-12' to each side of the equation.
12 + -12 + 4x = 20 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = 20 + -12
4x = 20 + -12

Combine like terms: 20 + -12 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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