7(x+6)=6(x+7)+x

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


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

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

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

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

Add '-42' to each side of the equation.
42 + -42 + 7x = 42 + -42 + 7x

Combine like terms: 42 + -42 = 0
0 + 7x = 42 + -42 + 7x
7x = 42 + -42 + 7x

Combine like terms: 42 + -42 = 0
7x = 0 + 7x
7x = 7x

Add '-7x' to each side of the equation.
7x + -7x = 7x + -7x

Combine like terms: 7x + -7x = 0
0 = 7x + -7x

Combine like terms: 7x + -7x = 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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