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

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


Simplifying
6x + 4y + 6z + -4x + 4z + -8y = 0

Reorder the terms:
6x + -4x + 4y + -8y + 6z + 4z = 0

Combine like terms: 6x + -4x = 2x
2x + 4y + -8y + 6z + 4z = 0

Combine like terms: 4y + -8y = -4y
2x + -4y + 6z + 4z = 0

Combine like terms: 6z + 4z = 10z
2x + -4y + 10z = 0

Solving
2x + -4y + 10z = 0

Solving for variable 'x'.

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

Add '4y' to each side of the equation.
2x + -4y + 4y + 10z = 0 + 4y

Combine like terms: -4y + 4y = 0
2x + 0 + 10z = 0 + 4y
2x + 10z = 0 + 4y
Remove the zero:
2x + 10z = 4y

Add '-10z' to each side of the equation.
2x + 10z + -10z = 4y + -10z

Combine like terms: 10z + -10z = 0
2x + 0 = 4y + -10z
2x = 4y + -10z

Divide each side by '2'.
x = 2y + -5z

Simplifying
x = 2y + -5z

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