5x-6y+2z=0

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Solution for 5x-6y+2z=0 equation:


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

Solving
5x + -6y + 2z = 0

Solving for variable 'x'.

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

Add '6y' to each side of the equation.
5x + -6y + 6y + 2z = 0 + 6y

Combine like terms: -6y + 6y = 0
5x + 0 + 2z = 0 + 6y
5x + 2z = 0 + 6y
Remove the zero:
5x + 2z = 6y

Add '-2z' to each side of the equation.
5x + 2z + -2z = 6y + -2z

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

Divide each side by '5'.
x = 1.2y + -0.4z

Simplifying
x = 1.2y + -0.4z

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