5(x-7)+x=6(x-7)+7

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Solution for 5(x-7)+x=6(x-7)+7 equation: 


Simplifying
5(x + -7) + x = 6(x + -7) + 7

Reorder the terms:
5(-7 + x) + x = 6(x + -7) + 7
(-7 * 5 + x * 5) + x = 6(x + -7) + 7
(-35 + 5x) + x = 6(x + -7) + 7

Combine like terms: 5x + x = 6x
-35 + 6x = 6(x + -7) + 7

Reorder the terms:
-35 + 6x = 6(-7 + x) + 7
-35 + 6x = (-7 * 6 + x * 6) + 7
-35 + 6x = (-42 + 6x) + 7

Reorder the terms:
-35 + 6x = -42 + 7 + 6x

Combine like terms: -42 + 7 = -35
-35 + 6x = -35 + 6x

Add '35' to each side of the equation.
-35 + 35 + 6x = -35 + 35 + 6x

Combine like terms: -35 + 35 = 0
0 + 6x = -35 + 35 + 6x
6x = -35 + 35 + 6x

Combine like terms: -35 + 35 = 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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