5(x-4)+x=6(x-5)+10

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Solution for 5(x-4)+x=6(x-5)+10 equation: 


Simplifying
5(x + -4) + x = 6(x + -5) + 10

Reorder the terms:
5(-4 + x) + x = 6(x + -5) + 10
(-4 * 5 + x * 5) + x = 6(x + -5) + 10
(-20 + 5x) + x = 6(x + -5) + 10

Combine like terms: 5x + x = 6x
-20 + 6x = 6(x + -5) + 10

Reorder the terms:
-20 + 6x = 6(-5 + x) + 10
-20 + 6x = (-5 * 6 + x * 6) + 10
-20 + 6x = (-30 + 6x) + 10

Reorder the terms:
-20 + 6x = -30 + 10 + 6x

Combine like terms: -30 + 10 = -20
-20 + 6x = -20 + 6x

Add '20' to each side of the equation.
-20 + 20 + 6x = -20 + 20 + 6x

Combine like terms: -20 + 20 = 0
0 + 6x = -20 + 20 + 6x
6x = -20 + 20 + 6x

Combine like terms: -20 + 20 = 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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