7x+4y+6z-4x+4z-5y=

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Solution for 7x+4y+6z-4x+4z-5y= equation:


Simplifying
7x + 4y + 6z + -4x + 4z + -5y = 0

Reorder the terms:
7x + -4x + 4y + -5y + 6z + 4z = 0

Combine like terms: 7x + -4x = 3x
3x + 4y + -5y + 6z + 4z = 0

Combine like terms: 4y + -5y = -1y
3x + -1y + 6z + 4z = 0

Combine like terms: 6z + 4z = 10z
3x + -1y + 10z = 0

Solving
3x + -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.
3x + -1y + y + 10z = 0 + y

Combine like terms: -1y + y = 0
3x + 0 + 10z = 0 + y
3x + 10z = 0 + y
Remove the zero:
3x + 10z = y

Add '-10z' to each side of the equation.
3x + 10z + -10z = y + -10z

Combine like terms: 10z + -10z = 0
3x + 0 = y + -10z
3x = y + -10z

Divide each side by '3'.
x = 0.3333333333y + -3.333333333z

Simplifying
x = 0.3333333333y + -3.333333333z

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