10x+4y+6z-5x+5z-6y=

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Solution for 10x+4y+6z-5x+5z-6y= equation:


Simplifying
10x + 4y + 6z + -5x + 5z + -6y = 0

Reorder the terms:
10x + -5x + 4y + -6y + 6z + 5z = 0

Combine like terms: 10x + -5x = 5x
5x + 4y + -6y + 6z + 5z = 0

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

Combine like terms: 6z + 5z = 11z
5x + -2y + 11z = 0

Solving
5x + -2y + 11z = 0

Solving for variable 'x'.

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

Add '2y' to each side of the equation.
5x + -2y + 2y + 11z = 0 + 2y

Combine like terms: -2y + 2y = 0
5x + 0 + 11z = 0 + 2y
5x + 11z = 0 + 2y
Remove the zero:
5x + 11z = 2y

Add '-11z' to each side of the equation.
5x + 11z + -11z = 2y + -11z

Combine like terms: 11z + -11z = 0
5x + 0 = 2y + -11z
5x = 2y + -11z

Divide each side by '5'.
x = 0.4y + -2.2z

Simplifying
x = 0.4y + -2.2z

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