Question

$\frac{1}{3}b+\frac{1}{5}=\frac{2}{5}b-\frac{3}{5}$

Short answer

The value of$b=12$

Step-by-step solution

- The given information

$\frac{1}{3}b+\frac{1}{5}=\frac{2}{5}b-\frac{3}{5}$

Step 2

$$\begin{gathered} \frac{1}{3}b+\frac{1}{5}=\frac{2}{5}b-\frac{3}{5} \\ \Rightarrow \frac{1}{3}b-\frac{2}{5}b=-\frac{3}{5}-\frac{1}{5} \\ \Rightarrow \frac{5b-6b}{15}=-\frac{4}{5} \\ \Rightarrow -\frac{b}{15}=-\frac{4}{5} \\ \Rightarrow b=12 \end{gathered}$$