4(3x-1)-5(3x-2)=2(x+2)-5x

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Solution for 4(3x-1)-5(3x-2)=2(x+2)-5x equation: 


Simplifying
4(3x + -1) + -5(3x + -2) = 2(x + 2) + -5x

Reorder the terms:
4(-1 + 3x) + -5(3x + -2) = 2(x + 2) + -5x
(-1 * 4 + 3x * 4) + -5(3x + -2) = 2(x + 2) + -5x
(-4 + 12x) + -5(3x + -2) = 2(x + 2) + -5x

Reorder the terms:
-4 + 12x + -5(-2 + 3x) = 2(x + 2) + -5x
-4 + 12x + (-2 * -5 + 3x * -5) = 2(x + 2) + -5x
-4 + 12x + (10 + -15x) = 2(x + 2) + -5x

Reorder the terms:
-4 + 10 + 12x + -15x = 2(x + 2) + -5x

Combine like terms: -4 + 10 = 6
6 + 12x + -15x = 2(x + 2) + -5x

Combine like terms: 12x + -15x = -3x
6 + -3x = 2(x + 2) + -5x

Reorder the terms:
6 + -3x = 2(2 + x) + -5x
6 + -3x = (2 * 2 + x * 2) + -5x
6 + -3x = (4 + 2x) + -5x

Combine like terms: 2x + -5x = -3x
6 + -3x = 4 + -3x

Add '3x' to each side of the equation.
6 + -3x + 3x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 0 = 4 + -3x + 3x
6 = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 = 4 + 0
6 = 4

Solving
6 = 4

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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