Solve $\frac{x}{3}+\frac{x}{2}=5$

Step-by-step solution

1. Step 1 · Clear denominators
   $$2x+3x=30$$

   Multiply every term by 6, the least common multiple of 3 and 2.

2. Step 2 · Collect and divide
   $$5x=30\Rightarrow x=6$$

   Like terms combine into 5x; dividing by 5 isolates x.

3. Step 3 · Check
   $$\frac{6}{3}+\frac{6}{2}=2+3=5$$

   The solution satisfies the original equation.