1. Solve the equation $\frac{x}{3} + \frac{1}{4} = \frac{x}{2}$. 2. Start by stating the problem: We want to find the value of $x$ that satisfies the equation. 3. Use the formula for solving linear equations: combine like terms and isolate $x$. 4. Multiply both sides by the least common denominator (LCD) of 12 to clear fractions: $$12 \times \left(\frac{x}{3} + \frac{1}{4}\right) = 12 \times \frac{x}{2}$$ 5. Simplify each term: $$4x + 3 = 6x$$ 6. Rearrange to isolate $x$: $$4x + 3 = 6x \implies 3 = 6x - 4x \implies 3 = 2x$$ 7. Divide both sides by 2: $$x = \frac{3}{2}$$ Final answer: $x = \frac{3}{2}$.