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

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


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

Remove parenthesis around (-1x)
X + -4 * -1x + 6 = 3(-1x) + 2x

Multiply -4 * -1
X + 4x + 6 = 3(-1x) + 2x

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

Remove parenthesis around (-1x)
6 + X + 4x = 3 * -1x + 2x

Multiply 3 * -1
6 + X + 4x = -3x + 2x

Combine like terms: -3x + 2x = -1x
6 + X + 4x = -1x

Solving
6 + X + 4x = -1x

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + X + -6 + 4x = -6 + -1x

Reorder the terms:
6 + -6 + X + 4x = -6 + -1x

Combine like terms: 6 + -6 = 0
0 + X + 4x = -6 + -1x
X + 4x = -6 + -1x

Add '-4x' to each side of the equation.
X + 4x + -4x = -6 + -1x + -4x

Combine like terms: 4x + -4x = 0
X + 0 = -6 + -1x + -4x
X = -6 + -1x + -4x

Combine like terms: -1x + -4x = -5x
X = -6 + -5x

Simplifying
X = -6 + -5x

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