7x+2y+6z-4x+2z-6y=

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Solution for 7x+2y+6z-4x+2z-6y= equation: 


Simplifying
7x + 2y + 6z + -4x + 2z + -6y = 0

Reorder the terms:
7x + -4x + 2y + -6y + 6z + 2z = 0

Combine like terms: 7x + -4x = 3x
3x + 2y + -6y + 6z + 2z = 0

Combine like terms: 2y + -6y = -4y
3x + -4y + 6z + 2z = 0

Combine like terms: 6z + 2z = 8z
3x + -4y + 8z = 0

Solving
3x + -4y + 8z = 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.
3x + -4y + 4y + 8z = 0 + 4y

Combine like terms: -4y + 4y = 0
3x + 0 + 8z = 0 + 4y
3x + 8z = 0 + 4y
Remove the zero:
3x + 8z = 4y

Add '-8z' to each side of the equation.
3x + 8z + -8z = 4y + -8z

Combine like terms: 8z + -8z = 0
3x + 0 = 4y + -8z
3x = 4y + -8z

Divide each side by '3'.
x = 1.333333333y + -2.666666667z

Simplifying
x = 1.333333333y + -2.666666667z

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