Question

$\frac{1}{5}(q+3)=\frac{1}{2}(q-3)$

Short answer

The value of$q=7$

Step-by-step solution

- The given information

$\frac{1}{5}(q+3)=\frac{1}{2}(q-3)$

Step 2

$$\begin{gathered} \frac{1}{5}(q+3)=\frac{1}{2}(q-3) \\ \Rightarrow \frac{q}{5}+\frac{3}{5}=\frac{q}{2}-\frac{3}{2} \\ \Rightarrow \frac{q}{5}-\frac{q}{2}=-\frac{3}{2}-\frac{3}{5} \\ \Rightarrow \frac{2q-5q}{10}=-\frac{15+6}{10} \\ \Rightarrow -\frac{3q}{10}=-\frac{21}{10} \\ \Rightarrow q=7 \end{gathered}$$