Solve for y x+5y-10=2x

$x + 5 y - 10 = 2 x$

Move all terms not containing $y$ to the right side of the equation.

Subtract $x$ from both sides of the equation.

$5 y - 10 = 2 x - x$

Add $10$ to both sides of the equation.

$5 y = 2 x - x + 10$

Subtract $x$ from $2 x$ .

$5 y = x + 10$

Divide each term in $5 y = x + 10$ by $5$ and simplify.

Divide each term in $5 y = x + 10$ by $5$ .

$\frac{5 y}{5} = \frac{x}{5} + \frac{10}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{x}{5} + \frac{10}{5}$

Divide $y$ by $1$ .

$y = \frac{x}{5} + \frac{10}{5}$

Simplify the right side.

Divide $10$ by $5$ .

$y = \frac{x}{5} + 2$