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

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


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

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

Reorder the terms:
-15 + 6x + -4(-3 + x) = -2(4 + -1x)
-15 + 6x + (-3 * -4 + x * -4) = -2(4 + -1x)
-15 + 6x + (12 + -4x) = -2(4 + -1x)

Reorder the terms:
-15 + 12 + 6x + -4x = -2(4 + -1x)

Combine like terms: -15 + 12 = -3
-3 + 6x + -4x = -2(4 + -1x)

Combine like terms: 6x + -4x = 2x
-3 + 2x = -2(4 + -1x)
-3 + 2x = (4 * -2 + -1x * -2)
-3 + 2x = (-8 + 2x)

Add '-2x' to each side of the equation.
-3 + 2x + -2x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 0 = -8 + 2x + -2x
-3 = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 = -8 + 0
-3 = -8

Solving
-3 = -8

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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