5(x+4)=7(x-2)-2x

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Solution for 5(x+4)=7(x-2)-2x equation: 


Simplifying
5(x + 4) = 7(x + -2) + -2x

Reorder the terms:
5(4 + x) = 7(x + -2) + -2x
(4 * 5 + x * 5) = 7(x + -2) + -2x
(20 + 5x) = 7(x + -2) + -2x

Reorder the terms:
20 + 5x = 7(-2 + x) + -2x
20 + 5x = (-2 * 7 + x * 7) + -2x
20 + 5x = (-14 + 7x) + -2x

Combine like terms: 7x + -2x = 5x
20 + 5x = -14 + 5x

Add '-5x' to each side of the equation.
20 + 5x + -5x = -14 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + 0 = -14 + 5x + -5x
20 = -14 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 = -14 + 0
20 = -14

Solving
20 = -14

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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