Question

Solve the following equation:

$\frac{2a}{3}-5=3$

Answer 1

Find the value of $a$

We have, $\frac{2a}{3}-5=3$

$$\begin{gathered} \Rightarrow \frac{2a}{3}-5=3 \\ \Rightarrow \frac{2a}{3}=3+5[\mathrm{Transposing}5\mathrm{to}\mathrm{RHS}] \\ \Rightarrow \frac{2a}{3}=8 \\ \Rightarrow a=8\times \frac{3}{2}[\mathrm{Transposing}\frac{2}{3}\mathrm{to}\mathrm{RHS}] \\ \Rightarrow a=12 \end{gathered}$$

Hence, $a=12$ is the solution of the given equation.