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

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


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

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

Reorder the terms:
-15 + 5x = 2(6 + x) + 3x
-15 + 5x = (6 * 2 + x * 2) + 3x
-15 + 5x = (12 + 2x) + 3x

Combine like terms: 2x + 3x = 5x
-15 + 5x = 12 + 5x

Add '-5x' to each side of the equation.
-15 + 5x + -5x = 12 + 5x + -5x

Combine like terms: 5x + -5x = 0
-15 + 0 = 12 + 5x + -5x
-15 = 12 + 5x + -5x

Combine like terms: 5x + -5x = 0
-15 = 12 + 0
-15 = 12

Solving
-15 = 12

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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