4x+2y+6=-2+8y-x

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Solution for 4x+2y+6=-2+8y-x equation:


Simplifying
4x + 2y + 6 = -2 + 8y + -1x

Reorder the terms:
6 + 4x + 2y = -2 + 8y + -1x

Reorder the terms:
6 + 4x + 2y = -2 + -1x + 8y

Solving
6 + 4x + 2y = -2 + -1x + 8y

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + 4x + x + 2y = -2 + -1x + x + 8y

Combine like terms: 4x + x = 5x
6 + 5x + 2y = -2 + -1x + x + 8y

Combine like terms: -1x + x = 0
6 + 5x + 2y = -2 + 0 + 8y
6 + 5x + 2y = -2 + 8y

Add '-6' to each side of the equation.
6 + 5x + -6 + 2y = -2 + -6 + 8y

Reorder the terms:
6 + -6 + 5x + 2y = -2 + -6 + 8y

Combine like terms: 6 + -6 = 0
0 + 5x + 2y = -2 + -6 + 8y
5x + 2y = -2 + -6 + 8y

Combine like terms: -2 + -6 = -8
5x + 2y = -8 + 8y

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

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

Combine like terms: 8y + -2y = 6y
5x = -8 + 6y

Divide each side by '5'.
x = -1.6 + 1.2y

Simplifying
x = -1.6 + 1.2y

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