12-2(x-4)=-4(x-5)

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Solution for 12-2(x-4)=-4(x-5) equation:


Simplifying
12 + -2(x + -4) = -4(x + -5)

Reorder the terms:
12 + -2(-4 + x) = -4(x + -5)
12 + (-4 * -2 + x * -2) = -4(x + -5)
12 + (8 + -2x) = -4(x + -5)

Combine like terms: 12 + 8 = 20
20 + -2x = -4(x + -5)

Reorder the terms:
20 + -2x = -4(-5 + x)
20 + -2x = (-5 * -4 + x * -4)
20 + -2x = (20 + -4x)

Add '-20' to each side of the equation.
20 + -20 + -2x = 20 + -20 + -4x

Combine like terms: 20 + -20 = 0
0 + -2x = 20 + -20 + -4x
-2x = 20 + -20 + -4x

Combine like terms: 20 + -20 = 0
-2x = 0 + -4x
-2x = -4x

Solving
-2x = -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-2x + 4x = -4x + 4x

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

Combine like terms: -4x + 4x = 0
2x = 0

Divide each side by '2'.
x = 0

Simplifying
x = 0

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