5(x-5)+x=6(x-5)+5

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Solution for 5(x-5)+x=6(x-5)+5 equation:


Simplifying
5(x + -5) + x = 6(x + -5) + 5

Reorder the terms:
5(-5 + x) + x = 6(x + -5) + 5
(-5 * 5 + x * 5) + x = 6(x + -5) + 5
(-25 + 5x) + x = 6(x + -5) + 5

Combine like terms: 5x + x = 6x
-25 + 6x = 6(x + -5) + 5

Reorder the terms:
-25 + 6x = 6(-5 + x) + 5
-25 + 6x = (-5 * 6 + x * 6) + 5
-25 + 6x = (-30 + 6x) + 5

Reorder the terms:
-25 + 6x = -30 + 5 + 6x

Combine like terms: -30 + 5 = -25
-25 + 6x = -25 + 6x

Add '25' to each side of the equation.
-25 + 25 + 6x = -25 + 25 + 6x

Combine like terms: -25 + 25 = 0
0 + 6x = -25 + 25 + 6x
6x = -25 + 25 + 6x

Combine like terms: -25 + 25 = 0
6x = 0 + 6x
6x = 6x

Add '-6x' to each side of the equation.
6x + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
0 = 6x + -6x

Combine like terms: 6x + -6x = 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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