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

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


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

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

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

Combine like terms: 2y + -3y = -1y
4x + -1y + 6z + 4z = 0

Combine like terms: 6z + 4z = 10z
4x + -1y + 10z = 0

Solving
4x + -1y + 10z = 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.
4x + -1y + y + 10z = 0 + y

Combine like terms: -1y + y = 0
4x + 0 + 10z = 0 + y
4x + 10z = 0 + y
Remove the zero:
4x + 10z = y

Add '-10z' to each side of the equation.
4x + 10z + -10z = y + -10z

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

Divide each side by '4'.
x = 0.25y + -2.5z

Simplifying
x = 0.25y + -2.5z

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