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

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


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

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

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

Combine like terms: 5x + -1x = 4x
-20 + 4x = -20 + 4x

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

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

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

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

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

Combine like terms: 4x + -4x = 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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