5x+3y+5z-2x+2z-6y=

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Solution for 5x+3y+5z-2x+2z-6y= equation: 


Simplifying
5x + 3y + 5z + -2x + 2z + -6y = 0

Reorder the terms:
5x + -2x + 3y + -6y + 5z + 2z = 0

Combine like terms: 5x + -2x = 3x
3x + 3y + -6y + 5z + 2z = 0

Combine like terms: 3y + -6y = -3y
3x + -3y + 5z + 2z = 0

Combine like terms: 5z + 2z = 7z
3x + -3y + 7z = 0

Solving
3x + -3y + 7z = 0

Solving for variable 'x'.

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

Add '3y' to each side of the equation.
3x + -3y + 3y + 7z = 0 + 3y

Combine like terms: -3y + 3y = 0
3x + 0 + 7z = 0 + 3y
3x + 7z = 0 + 3y
Remove the zero:
3x + 7z = 3y

Add '-7z' to each side of the equation.
3x + 7z + -7z = 3y + -7z

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

Divide each side by '3'.
x = y + -2.333333333z

Simplifying
x = y + -2.333333333z

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