Solve x/3 + (x - 2)/4 = 3

Problem: Solve for $x$: $\frac{x}{3} + \frac{x - 2}{4} = 3$

Steps

1. Find the least common multiple of the denominators
   $$12 \left(\frac{x}{3} + \frac{x - 2}{4}\right) = 12(3)$$
2. Distribute the 12
   $$4x + 3(x - 2) = 36$$
3. Expand the parentheses
   $$4x + 3x - 6 = 36$$
4. Combine like terms
   $$7x - 6 = 36$$
5. Add 6 to both sides
   $$7x = 42$$
6. Divide both sides by 7
   $$x = 6$$