4x+5y+3z-2x+2z-6y=

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Solution for 4x+5y+3z-2x+2z-6y= equation: 


Simplifying
4x + 5y + 3z + -2x + 2z + -6y = 0

Reorder the terms:
4x + -2x + 5y + -6y + 3z + 2z = 0

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

Combine like terms: 5y + -6y = -1y
2x + -1y + 3z + 2z = 0

Combine like terms: 3z + 2z = 5z
2x + -1y + 5z = 0

Solving
2x + -1y + 5z = 0

Solving for variable 'x'.

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

Add 'y' to each side of the equation.
2x + -1y + y + 5z = 0 + y

Combine like terms: -1y + y = 0
2x + 0 + 5z = 0 + y
2x + 5z = 0 + y
Remove the zero:
2x + 5z = y

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

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

Divide each side by '2'.
x = 0.5y + -2.5z

Simplifying
x = 0.5y + -2.5z

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