Solve for t f(t)=5t-7

$f (t) = 5 t - 7$

Step 1

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

$f t - 5 t = - 7$

Step 2

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

Factor $t$ out of $f t$ .

$t f - 5 t = - 7$

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

$t f + t \cdot - 5 = - 7$

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

$t (f - 5) = - 7$

Step 3

Divide each term in $t (f - 5) = - 7$ by $f - 5$ and simplify.

Divide each term in $t (f - 5) = - 7$ by $f - 5$ .

$\frac{t (f - 5)}{f - 5} = \frac{- 7}{f - 5}$

Simplify the left side.

Cancel the common factor of $f - 5$ .

Cancel the common factor.

$\frac{t (f - 5)}{f - 5} = \frac{- 7}{f - 5}$

Divide $t$ by $1$ .

$t = \frac{- 7}{f - 5}$

Simplify the right side.

Move the negative in front of the fraction.

$t = - \frac{7}{f - 5}$