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

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


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

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

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

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

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

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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