6(x+5)=5(x-8)+x

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Solution for 6(x+5)=5(x-8)+x equation: 


Simplifying
6(x + 5) = 5(x + -8) + x

Reorder the terms:
6(5 + x) = 5(x + -8) + x
(5 * 6 + x * 6) = 5(x + -8) + x
(30 + 6x) = 5(x + -8) + x

Reorder the terms:
30 + 6x = 5(-8 + x) + x
30 + 6x = (-8 * 5 + x * 5) + x
30 + 6x = (-40 + 5x) + x

Combine like terms: 5x + x = 6x
30 + 6x = -40 + 6x

Add '-6x' to each side of the equation.
30 + 6x + -6x = -40 + 6x + -6x

Combine like terms: 6x + -6x = 0
30 + 0 = -40 + 6x + -6x
30 = -40 + 6x + -6x

Combine like terms: 6x + -6x = 0
30 = -40 + 0
30 = -40

Solving
30 = -40

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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