9x+3y+6z-5x+2z-6y=

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Solution for 9x+3y+6z-5x+2z-6y= equation:


Simplifying
9x + 3y + 6z + -5x + 2z + -6y = 0

Reorder the terms:
9x + -5x + 3y + -6y + 6z + 2z = 0

Combine like terms: 9x + -5x = 4x
4x + 3y + -6y + 6z + 2z = 0

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

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

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

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

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

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

Divide each side by '4'.
x = 0.75y + -2z

Simplifying
x = 0.75y + -2z

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