3x+y-2z=6

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


Simplifying
3x + y + -2z = 6

Solving
3x + y + -2z = 6

Solving for variable 'x'.

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

Add '-1y' to each side of the equation.
3x + y + -1y + -2z = 6 + -1y

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

Add '2z' to each side of the equation.
3x + -2z + 2z = 6 + -1y + 2z

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

Divide each side by '3'.
x = 2 + -0.3333333333y + 0.6666666667z

Simplifying
x = 2 + -0.3333333333y + 0.6666666667z

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