3x-8+5y=2

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Solution for 3x-8+5y=2 equation:


Simplifying
3x + -8 + 5y = 2

Reorder the terms:
-8 + 3x + 5y = 2

Solving
-8 + 3x + 5y = 2

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 3x + 8 + 5y = 2 + 8

Reorder the terms:
-8 + 8 + 3x + 5y = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 3x + 5y = 2 + 8
3x + 5y = 2 + 8

Combine like terms: 2 + 8 = 10
3x + 5y = 10

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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