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

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


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

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

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

Combine like terms: x + -3x = -2x
5 + -2x = 2(4 + -1x)
5 + -2x = (4 * 2 + -1x * 2)
5 + -2x = (8 + -2x)

Add '2x' to each side of the equation.
5 + -2x + 2x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
5 + 0 = 8 + -2x + 2x
5 = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
5 = 8 + 0
5 = 8

Solving
5 = 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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