5y+3x=10

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Solution for 5y+3x=10 equation: 


Simplifying
5y + 3x = 10

Reorder the terms:
3x + 5y = 10

Solving
3x + 5y = 10

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.
3x + 5y + -5y = 10 + -5y

Combine like terms: 5y + -5y = 0
3x + 0 = 10 + -5y
3x = 10 + -5y

Divide each side by '3'.
x = 3.333333333 + -1.666666667y

Simplifying
x = 3.333333333 + -1.666666667y

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