3x-5y+2=9

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Solution for 3x-5y+2=9 equation:


Simplifying
3x + -5y + 2 = 9

Reorder the terms:
2 + 3x + -5y = 9

Solving
2 + 3x + -5y = 9

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + 3x + -2 + -5y = 9 + -2

Reorder the terms:
2 + -2 + 3x + -5y = 9 + -2

Combine like terms: 2 + -2 = 0
0 + 3x + -5y = 9 + -2
3x + -5y = 9 + -2

Combine like terms: 9 + -2 = 7
3x + -5y = 7

Add '5y' to each side of the equation.
3x + -5y + 5y = 7 + 5y

Combine like terms: -5y + 5y = 0
3x + 0 = 7 + 5y
3x = 7 + 5y

Divide each side by '3'.
x = 2.333333333 + 1.666666667y

Simplifying
x = 2.333333333 + 1.666666667y

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