Solve the following equations.
$ \frac{x}{3}+1=\frac{7}{15} $.

Given:

\( \frac{x}{3}+1=\frac{7}{15} \).

To do:
 We have to solve the given equation.

Solution:

$\frac{x}{3}+1=\frac{7}{15}$

We get,

$\frac{x}{3}=\frac{7}{15}-1$

$\frac{x}{3}=\frac{7-15}{15}$

$\frac{x}{3}=\frac{-8}{15}$

$x=\frac{-8\times3}{15}$

$x=\frac{-8}{5}$

The value of $x$ is $\frac{-8}{5}$.