3x+7y+z=0

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Solution for 3x+7y+z=0 equation:


Simplifying
3x + 7y + z = 0

Solving
3x + 7y + z = 0

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 + z = 0 + -7y

Combine like terms: 7y + -7y = 0
3x + 0 + z = 0 + -7y
3x + z = 0 + -7y
Remove the zero:
3x + z = -7y

Add '-1z' to each side of the equation.
3x + z + -1z = -7y + -1z

Combine like terms: z + -1z = 0
3x + 0 = -7y + -1z
3x = -7y + -1z

Divide each side by '3'.
x = -2.333333333y + -0.3333333333z

Simplifying
x = -2.333333333y + -0.3333333333z

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