(4x-4)=-4(x-5)

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


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

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

Remove parenthesis around (-4 + 4x)
-4 + 4x = -4(x + -5)

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

Solving
-4 + 4x = 20 + -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.
-4 + 4x + 4x = 20 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
-4 + 8x = 20 + 0
-4 + 8x = 20

Add '4' to each side of the equation.
-4 + 4 + 8x = 20 + 4

Combine like terms: -4 + 4 = 0
0 + 8x = 20 + 4
8x = 20 + 4

Combine like terms: 20 + 4 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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