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

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Solution for 3(x-4)=5(x+2)-2x equation: 


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

Reorder the terms:
3(-4 + x) = 5(x + 2) + -2x
(-4 * 3 + x * 3) = 5(x + 2) + -2x
(-12 + 3x) = 5(x + 2) + -2x

Reorder the terms:
-12 + 3x = 5(2 + x) + -2x
-12 + 3x = (2 * 5 + x * 5) + -2x
-12 + 3x = (10 + 5x) + -2x

Combine like terms: 5x + -2x = 3x
-12 + 3x = 10 + 3x

Add '-3x' to each side of the equation.
-12 + 3x + -3x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 0 = 10 + 3x + -3x
-12 = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 = 10 + 0
-12 = 10

Solving
-12 = 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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