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

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


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

Reorder the terms:
3 + -2(-4 + x) = (4 + -1x) + -1(x + 2)
3 + (-4 * -2 + x * -2) = (4 + -1x) + -1(x + 2)
3 + (8 + -2x) = (4 + -1x) + -1(x + 2)

Combine like terms: 3 + 8 = 11
11 + -2x = (4 + -1x) + -1(x + 2)

Remove parenthesis around (4 + -1x)
11 + -2x = 4 + -1x + -1(x + 2)

Reorder the terms:
11 + -2x = 4 + -1x + -1(2 + x)
11 + -2x = 4 + -1x + (2 * -1 + x * -1)
11 + -2x = 4 + -1x + (-2 + -1x)

Reorder the terms:
11 + -2x = 4 + -2 + -1x + -1x

Combine like terms: 4 + -2 = 2
11 + -2x = 2 + -1x + -1x

Combine like terms: -1x + -1x = -2x
11 + -2x = 2 + -2x

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

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

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

Solving
11 = 2

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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