4-4(x-5)=-x

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


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

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

Combine like terms: 4 + 20 = 24
24 + -4x = -1x

Solving
24 + -4x = -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.
24 + -4x + x = -1x + x

Combine like terms: -4x + x = -3x
24 + -3x = -1x + x

Combine like terms: -1x + x = 0
24 + -3x = 0

Add '-24' to each side of the equation.
24 + -24 + -3x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -3x = 0 + -24
-3x = 0 + -24

Combine like terms: 0 + -24 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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