7(x-1)=5(x+2)+2x

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Solution for 7(x-1)=5(x+2)+2x equation: 


Simplifying
7(x + -1) = 5(x + 2) + 2x

Reorder the terms:
7(-1 + x) = 5(x + 2) + 2x
(-1 * 7 + x * 7) = 5(x + 2) + 2x
(-7 + 7x) = 5(x + 2) + 2x

Reorder the terms:
-7 + 7x = 5(2 + x) + 2x
-7 + 7x = (2 * 5 + x * 5) + 2x
-7 + 7x = (10 + 5x) + 2x

Combine like terms: 5x + 2x = 7x
-7 + 7x = 10 + 7x

Add '-7x' to each side of the equation.
-7 + 7x + -7x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0
-7 + 0 = 10 + 7x + -7x
-7 = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0
-7 = 10 + 0
-7 = 10

Solving
-7 = 10

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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