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

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Solution for (4x-4)=(5x+1) equation:


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

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

Remove parenthesis around (-4 + 4x)
-4 + 4x = (5x + 1)

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

Remove parenthesis around (1 + 5x)
-4 + 4x = 1 + 5x

Solving
-4 + 4x = 1 + 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.
-4 + 4x + -5x = 1 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-4 + -1x = 1 + 0
-4 + -1x = 1

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

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

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

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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