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

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


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

Reorder the terms:
3x + -4(-5 + 2x) = 2 + -5(x + 4)
3x + (-5 * -4 + 2x * -4) = 2 + -5(x + 4)
3x + (20 + -8x) = 2 + -5(x + 4)

Reorder the terms:
20 + 3x + -8x = 2 + -5(x + 4)

Combine like terms: 3x + -8x = -5x
20 + -5x = 2 + -5(x + 4)

Reorder the terms:
20 + -5x = 2 + -5(4 + x)
20 + -5x = 2 + (4 * -5 + x * -5)
20 + -5x = 2 + (-20 + -5x)

Combine like terms: 2 + -20 = -18
20 + -5x = -18 + -5x

Add '5x' to each side of the equation.
20 + -5x + 5x = -18 + -5x + 5x

Combine like terms: -5x + 5x = 0
20 + 0 = -18 + -5x + 5x
20 = -18 + -5x + 5x

Combine like terms: -5x + 5x = 0
20 = -18 + 0
20 = -18

Solving
20 = -18

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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