Solve for X: Fraction Equation x/5 = (x+3)/10 Step-by-Step

To solve this problem, we'll employ the method of cross-multiplication:

1. First, we start with the equation $\frac{x}{5} = \frac{x+3}{10}$.
2. Apply cross-multiplication: $10x = 5(x + 3)$.
3. Distribute on the right-hand side: $10x = 5x + 15$.
4. Subtract $5x$ from both sides to isolate terms involving $x$:
   $10x - 5x = 15$.
5. This simplifies to $5x = 15$.
6. Divide both sides by 5 to solve for $x$:
   $x = \frac{15}{5}$.
7. Simplifying the fraction, we find $x = 3$.

Therefore, upon reviewing the correct process and calculations, the solution to the problem is $x = 3$.