5x+2y+7z-2x+5z-6y=

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Solution for 5x+2y+7z-2x+5z-6y= equation: 


Simplifying
5x + 2y + 7z + -2x + 5z + -6y = 0

Reorder the terms:
5x + -2x + 2y + -6y + 7z + 5z = 0

Combine like terms: 5x + -2x = 3x
3x + 2y + -6y + 7z + 5z = 0

Combine like terms: 2y + -6y = -4y
3x + -4y + 7z + 5z = 0

Combine like terms: 7z + 5z = 12z
3x + -4y + 12z = 0

Solving
3x + -4y + 12z = 0

Solving for variable 'x'.

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

Add '4y' to each side of the equation.
3x + -4y + 4y + 12z = 0 + 4y

Combine like terms: -4y + 4y = 0
3x + 0 + 12z = 0 + 4y
3x + 12z = 0 + 4y
Remove the zero:
3x + 12z = 4y

Add '-12z' to each side of the equation.
3x + 12z + -12z = 4y + -12z

Combine like terms: 12z + -12z = 0
3x + 0 = 4y + -12z
3x = 4y + -12z

Divide each side by '3'.
x = 1.333333333y + -4z

Simplifying
x = 1.333333333y + -4z

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