Solve for x 4x-5y=16

$4 x - 5 y = 16$

Step 1

Add $5 y$ to both sides of the equation.

$4 x = 16 + 5 y$

Step 2

Divide each term in $4 x = 16 + 5 y$ by $4$ and simplify.

Divide each term in $4 x = 16 + 5 y$ by $4$ .

$\frac{4 x}{4} = \frac{16}{4} + \frac{5 y}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{16}{4} + \frac{5 y}{4}$

Divide $x$ by $1$ .

$x = \frac{16}{4} + \frac{5 y}{4}$

Simplify the right side.

Divide $16$ by $4$ .

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