5y-3x+2=10

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Solution for 5y-3x+2=10 equation:


Simplifying
5y + -3x + 2 = 10

Reorder the terms:
2 + -3x + 5y = 10

Solving
2 + -3x + 5y = 10

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 = 10 + -2

Reorder the terms:
2 + -2 + -3x + 5y = 10 + -2

Combine like terms: 2 + -2 = 0
0 + -3x + 5y = 10 + -2
-3x + 5y = 10 + -2

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

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

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

Divide each side by '-3'.
x = -2.666666667 + 1.666666667y

Simplifying
x = -2.666666667 + 1.666666667y

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