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

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


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

Reorder the terms:
2(-3 + x) = 3(2x + -5) + 4(-1x + 1)
(-3 * 2 + x * 2) = 3(2x + -5) + 4(-1x + 1)
(-6 + 2x) = 3(2x + -5) + 4(-1x + 1)

Reorder the terms:
-6 + 2x = 3(-5 + 2x) + 4(-1x + 1)
-6 + 2x = (-5 * 3 + 2x * 3) + 4(-1x + 1)
-6 + 2x = (-15 + 6x) + 4(-1x + 1)

Reorder the terms:
-6 + 2x = -15 + 6x + 4(1 + -1x)
-6 + 2x = -15 + 6x + (1 * 4 + -1x * 4)
-6 + 2x = -15 + 6x + (4 + -4x)

Reorder the terms:
-6 + 2x = -15 + 4 + 6x + -4x

Combine like terms: -15 + 4 = -11
-6 + 2x = -11 + 6x + -4x

Combine like terms: 6x + -4x = 2x
-6 + 2x = -11 + 2x

Add '-2x' to each side of the equation.
-6 + 2x + -2x = -11 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 0 = -11 + 2x + -2x
-6 = -11 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 = -11 + 0
-6 = -11

Solving
-6 = -11

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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