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

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


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

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

Combine like terms: 5x + x = 6x
-30 + 6x = 6(x + -6) + 6

Reorder the terms:
-30 + 6x = 6(-6 + x) + 6
-30 + 6x = (-6 * 6 + x * 6) + 6
-30 + 6x = (-36 + 6x) + 6

Reorder the terms:
-30 + 6x = -36 + 6 + 6x

Combine like terms: -36 + 6 = -30
-30 + 6x = -30 + 6x

Add '30' to each side of the equation.
-30 + 30 + 6x = -30 + 30 + 6x

Combine like terms: -30 + 30 = 0
0 + 6x = -30 + 30 + 6x
6x = -30 + 30 + 6x

Combine like terms: -30 + 30 = 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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