Solve for x f(11)=5x-2

$f (11) = 5 x - 2$

Step 1

Rewrite the equation as $5 x - 2 = f (11)$ .

$5 x - 2 = f (11)$

Step 2

Move $11$ to the left of $f$ .

$5 x - 2 = 11 f$

Step 3

Add $2$ to both sides of the equation.

$5 x = 11 f + 2$

Step 4

Divide each term in $5 x = 11 f + 2$ by $5$ and simplify.

Divide each term in $5 x = 11 f + 2$ by $5$ .

$\frac{5 x}{5} = \frac{11 f}{5} + \frac{2}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{11 f}{5} + \frac{2}{5}$

Divide $x$ by $1$ .

$x = \frac{11 f}{5} + \frac{2}{5}$