Question

Find the value of $m$ for the given equation $\frac{(2m+5)}{3}=(3m-10)$.

Answer 1

Find the value.

$$\begin{gathered} \frac{2m+5}{3}=3m-10 \\ \Rightarrow 2m+5=3\left(3m-10\right) \\ \Rightarrow 2m+5=9m-30 \\ \Rightarrow 7m=35 \\ \Rightarrow m=5 \end{gathered}$$

Hence, the required answer is $5$.