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

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


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

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

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

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

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

Solving
2x + -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.
2x + -3y + 3y + 8z = 0 + 3y

Combine like terms: -3y + 3y = 0
2x + 0 + 8z = 0 + 3y
2x + 8z = 0 + 3y
Remove the zero:
2x + 8z = 3y

Add '-8z' to each side of the equation.
2x + 8z + -8z = 3y + -8z

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

Divide each side by '2'.
x = 1.5y + -4z

Simplifying
x = 1.5y + -4z

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