Solve for x 5x-2y=10

$5 x - 2 y = 10$

Step 1

Add $2 y$ to both sides of the equation.

$5 x = 10 + 2 y$

Step 2

Divide each term in $5 x = 10 + 2 y$ by $5$ and simplify.

Divide each term in $5 x = 10 + 2 y$ by $5$ .

$\frac{5 x}{5} = \frac{10}{5} + \frac{2 y}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{10}{5} + \frac{2 y}{5}$

Divide $x$ by $1$ .

$x = \frac{10}{5} + \frac{2 y}{5}$

Simplify the right side.

Divide $10$ by $5$ .

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