7(x+4)=6(x-4)+x

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Solution for 7(x+4)=6(x-4)+x equation: 


Simplifying
7(x + 4) = 6(x + -4) + x

Reorder the terms:
7(4 + x) = 6(x + -4) + x
(4 * 7 + x * 7) = 6(x + -4) + x
(28 + 7x) = 6(x + -4) + x

Reorder the terms:
28 + 7x = 6(-4 + x) + x
28 + 7x = (-4 * 6 + x * 6) + x
28 + 7x = (-24 + 6x) + x

Combine like terms: 6x + x = 7x
28 + 7x = -24 + 7x

Add '-7x' to each side of the equation.
28 + 7x + -7x = -24 + 7x + -7x

Combine like terms: 7x + -7x = 0
28 + 0 = -24 + 7x + -7x
28 = -24 + 7x + -7x

Combine like terms: 7x + -7x = 0
28 = -24 + 0
28 = -24

Solving
28 = -24

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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