3x-7y+6z=5

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Solution for 3x-7y+6z=5 equation: 


Simplifying
3x + -7y + 6z = 5

Solving
3x + -7y + 6z = 5

Solving for variable 'x'.

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

Add '7y' to each side of the equation.
3x + -7y + 7y + 6z = 5 + 7y

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

Add '-6z' to each side of the equation.
3x + 6z + -6z = 5 + 7y + -6z

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

Divide each side by '3'.
x = 1.666666667 + 2.333333333y + -2z

Simplifying
x = 1.666666667 + 2.333333333y + -2z

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