Solve for x z=5x-y

$z = 5 x - y$

Step 1

Rewrite the equation as $5 x - y = z$ .

$5 x - y = z$

Step 2

Add $y$ to both sides of the equation.

$5 x = z + y$

Step 3

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

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

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

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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