6x-(x-3)=3(2x-4)-(x+4)

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Solution for 6x-(x-3)=3(2x-4)-(x+4) equation:


Simplifying
6x + -1(x + -3) = 3(2x + -4) + -1(x + 4)

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

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

Combine like terms: 6x + -1x = 5x
3 + 5x = 3(2x + -4) + -1(x + 4)

Reorder the terms:
3 + 5x = 3(-4 + 2x) + -1(x + 4)
3 + 5x = (-4 * 3 + 2x * 3) + -1(x + 4)
3 + 5x = (-12 + 6x) + -1(x + 4)

Reorder the terms:
3 + 5x = -12 + 6x + -1(4 + x)
3 + 5x = -12 + 6x + (4 * -1 + x * -1)
3 + 5x = -12 + 6x + (-4 + -1x)

Reorder the terms:
3 + 5x = -12 + -4 + 6x + -1x

Combine like terms: -12 + -4 = -16
3 + 5x = -16 + 6x + -1x

Combine like terms: 6x + -1x = 5x
3 + 5x = -16 + 5x

Add '-5x' to each side of the equation.
3 + 5x + -5x = -16 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + 0 = -16 + 5x + -5x
3 = -16 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 = -16 + 0
3 = -16

Solving
3 = -16

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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