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

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


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

Reorder the terms:
6(6 + x) = 5(x + -7) + x
(6 * 6 + x * 6) = 5(x + -7) + x
(36 + 6x) = 5(x + -7) + x

Reorder the terms:
36 + 6x = 5(-7 + x) + x
36 + 6x = (-7 * 5 + x * 5) + x
36 + 6x = (-35 + 5x) + x

Combine like terms: 5x + x = 6x
36 + 6x = -35 + 6x

Add '-6x' to each side of the equation.
36 + 6x + -6x = -35 + 6x + -6x

Combine like terms: 6x + -6x = 0
36 + 0 = -35 + 6x + -6x
36 = -35 + 6x + -6x

Combine like terms: 6x + -6x = 0
36 = -35 + 0
36 = -35

Solving
36 = -35

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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