5y-x=7

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Solution for 5y-x=7 equation: 


Simplifying
5y + -1x = 7

Reorder the terms:
-1x + 5y = 7

Solving
-1x + 5y = 7

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.
-1x + 5y + -5y = 7 + -5y

Combine like terms: 5y + -5y = 0
-1x + 0 = 7 + -5y
-1x = 7 + -5y

Divide each side by '-1'.
x = -7 + 5y

Simplifying
x = -7 + 5y

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