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

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Solution for 8(x+5)=7(x-5)+x equation: 


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

Reorder the terms:
8(5 + x) = 7(x + -5) + x
(5 * 8 + x * 8) = 7(x + -5) + x
(40 + 8x) = 7(x + -5) + x

Reorder the terms:
40 + 8x = 7(-5 + x) + x
40 + 8x = (-5 * 7 + x * 7) + x
40 + 8x = (-35 + 7x) + x

Combine like terms: 7x + x = 8x
40 + 8x = -35 + 8x

Add '-8x' to each side of the equation.
40 + 8x + -8x = -35 + 8x + -8x

Combine like terms: 8x + -8x = 0
40 + 0 = -35 + 8x + -8x
40 = -35 + 8x + -8x

Combine like terms: 8x + -8x = 0
40 = -35 + 0
40 = -35

Solving
40 = -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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