The problem is to solve the equation $\frac{m}{5} = \frac{m+5}{10}$ for $m$.

1. Problem Description

The problem is to solve the equation $\frac{m}{5} = \frac{m+5}{10}$ for $m$.

2. Solution Steps

We are given the equation

$\frac{m}{5} = \frac{m+5}{10}$

To eliminate the fractions, multiply both sides of the equation by the least common multiple of the denominators, which is

1

0.

$10 \cdot \frac{m}{5} = 10 \cdot \frac{m+5}{10}$

$2m = m+5$

Now, subtract $m$ from both sides of the equation:

$2m - m = m + 5 - m$

$m = 5$

3. Final Answer

$m = 5$