Solve for x 5x+4y=10

$5 x + 4 y = 10$

Step 1

Subtract $4 y$ from both sides of the equation.

$5 x = 10 - 4 y$

Step 2

Divide each term in $5 x = 10 - 4 y$ by $5$ and simplify.

Divide each term in $5 x = 10 - 4 y$ by $5$ .

$\frac{5 x}{5} = \frac{10}{5} + \frac{- 4 y}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{10}{5} + \frac{- 4 y}{5}$

Divide $x$ by $1$ .

$x = \frac{10}{5} + \frac{- 4 y}{5}$

Simplify the right side.

Simplify each term.

Divide $10$ by $5$ .

$x = 2 + \frac{- 4 y}{5}$

Move the negative in front of the fraction.

$x = 2 - \frac{4 y}{5}$