Solve for $x$: $\frac{x}2 + \frac{x}3 = 5$
I want to isolate $x$ on one side of the equation, so I need to get rid of the fractions. To do that, I can multiply both sides by the least common multiple of the denominators, which is 6. So I get $6 \times \frac{x}2 + 6 \times \frac{x}3 = 6 \times 5$. Simplifying, I get $3x + 2x = 30$. Combining like terms, I get $5x = 30$. Dividing both sides by 5, I get $x = 6$. 