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

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


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

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

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

Combine like terms: -15 + 2 = -13
-13 + 5x = 3(x + 2) + 2x

Reorder the terms:
-13 + 5x = 3(2 + x) + 2x
-13 + 5x = (2 * 3 + x * 3) + 2x
-13 + 5x = (6 + 3x) + 2x

Combine like terms: 3x + 2x = 5x
-13 + 5x = 6 + 5x

Add '-5x' to each side of the equation.
-13 + 5x + -5x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-13 + 0 = 6 + 5x + -5x
-13 = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-13 = 6 + 0
-13 = 6

Solving
-13 = 6

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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