5y-6x=7z

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


Simplifying
5y + -6x = 7z

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

Solving
-6x + 5y = 7z

Solving for variable 'x'.

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

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

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

Divide each side by '-6'.
x = 0.8333333333y + -1.166666667z

Simplifying
x = 0.8333333333y + -1.166666667z

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