Solve for n t(n)=5n-3

$t (n) = 5 n - 3$

Subtract $5 n$ from both sides of the equation.

$t n - 5 n = - 3$

Factor $n$ out of $t n - 5 n$ .

Factor $n$ out of $t n$ .

$n t - 5 n = - 3$

Factor $n$ out of $- 5 n$ .

$n t + n \cdot - 5 = - 3$

Factor $n$ out of $n t + n \cdot - 5$ .

$n (t - 5) = - 3$

Divide each term in $n (t - 5) = - 3$ by $t - 5$ and simplify.

Divide each term in $n (t - 5) = - 3$ by $t - 5$ .

$\frac{n (t - 5)}{t - 5} = \frac{- 3}{t - 5}$

Simplify the left side.

Cancel the common factor of $t - 5$ .

Cancel the common factor.

$\frac{n (t - 5)}{t - 5} = \frac{- 3}{t - 5}$

Divide $n$ by $1$ .

$n = \frac{- 3}{t - 5}$

Simplify the right side.

Move the negative in front of the fraction.

$n = - \frac{3}{t - 5}$