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

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


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

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

Combine like terms: 4x + x = 5x
-20 + 5x = 5(x + -5) + 5

Reorder the terms:
-20 + 5x = 5(-5 + x) + 5
-20 + 5x = (-5 * 5 + x * 5) + 5
-20 + 5x = (-25 + 5x) + 5

Reorder the terms:
-20 + 5x = -25 + 5 + 5x

Combine like terms: -25 + 5 = -20
-20 + 5x = -20 + 5x

Add '20' to each side of the equation.
-20 + 20 + 5x = -20 + 20 + 5x

Combine like terms: -20 + 20 = 0
0 + 5x = -20 + 20 + 5x
5x = -20 + 20 + 5x

Combine like terms: -20 + 20 = 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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