5(x+3)+(2x)=7(x-6)-2

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Solution for 5(x+3)+(2x)=7(x-6)-2 equation: 


Simplifying
5(x + 3) + (2x) = 7(x + -6) + -2

Reorder the terms:
5(3 + x) + (2x) = 7(x + -6) + -2
(3 * 5 + x * 5) + (2x) = 7(x + -6) + -2
(15 + 5x) + (2x) = 7(x + -6) + -2

Combine like terms: 5x + (2x) = 7x
15 + 7x = 7(x + -6) + -2

Reorder the terms:
15 + 7x = 7(-6 + x) + -2
15 + 7x = (-6 * 7 + x * 7) + -2
15 + 7x = (-42 + 7x) + -2

Reorder the terms:
15 + 7x = -42 + -2 + 7x

Combine like terms: -42 + -2 = -44
15 + 7x = -44 + 7x

Add '-7x' to each side of the equation.
15 + 7x + -7x = -44 + 7x + -7x

Combine like terms: 7x + -7x = 0
15 + 0 = -44 + 7x + -7x
15 = -44 + 7x + -7x

Combine like terms: 7x + -7x = 0
15 = -44 + 0
15 = -44

Solving
15 = -44

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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