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

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


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

Reorder the terms:
2(-1 + x) + 4(5 + -1x) + x = -1(x + -1)
(-1 * 2 + x * 2) + 4(5 + -1x) + x = -1(x + -1)
(-2 + 2x) + 4(5 + -1x) + x = -1(x + -1)
-2 + 2x + (5 * 4 + -1x * 4) + x = -1(x + -1)
-2 + 2x + (20 + -4x) + x = -1(x + -1)

Reorder the terms:
-2 + 20 + 2x + -4x + x = -1(x + -1)

Combine like terms: -2 + 20 = 18
18 + 2x + -4x + x = -1(x + -1)

Combine like terms: 2x + -4x = -2x
18 + -2x + x = -1(x + -1)

Combine like terms: -2x + x = -1x
18 + -1x = -1(x + -1)

Reorder the terms:
18 + -1x = -1(-1 + x)
18 + -1x = (-1 * -1 + x * -1)
18 + -1x = (1 + -1x)

Add 'x' to each side of the equation.
18 + -1x + x = 1 + -1x + x

Combine like terms: -1x + x = 0
18 + 0 = 1 + -1x + x
18 = 1 + -1x + x

Combine like terms: -1x + x = 0
18 = 1 + 0
18 = 1

Solving
18 = 1

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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