3(x-4)+2x=7x+2(x-5)-4x

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Solution for 3(x-4)+2x=7x+2(x-5)-4x equation: 


Simplifying
3(x + -4) + 2x = 7x + 2(x + -5) + -4x

Reorder the terms:
3(-4 + x) + 2x = 7x + 2(x + -5) + -4x
(-4 * 3 + x * 3) + 2x = 7x + 2(x + -5) + -4x
(-12 + 3x) + 2x = 7x + 2(x + -5) + -4x

Combine like terms: 3x + 2x = 5x
-12 + 5x = 7x + 2(x + -5) + -4x

Reorder the terms:
-12 + 5x = 7x + 2(-5 + x) + -4x
-12 + 5x = 7x + (-5 * 2 + x * 2) + -4x
-12 + 5x = 7x + (-10 + 2x) + -4x

Reorder the terms:
-12 + 5x = -10 + 7x + 2x + -4x

Combine like terms: 7x + 2x = 9x
-12 + 5x = -10 + 9x + -4x

Combine like terms: 9x + -4x = 5x
-12 + 5x = -10 + 5x

Add '-5x' to each side of the equation.
-12 + 5x + -5x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + 0 = -10 + 5x + -5x
-12 = -10 + 5x + -5x

Combine like terms: 5x + -5x = 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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