Equation: 1/3 * x + 1/2 = 2 * (5/6 * x + 4). Step 1: Distribute 2 to get 1/3 * x + 1/2 = 10/6 * x + 8. Step 2: Multiply each term by 6 to eliminate fractions, resulting in 2 * x + 3 = 10 * x + 48. Step 3: Combine like terms to get 8 * x = -45. Step 4: Divide both sides by 8 to solve for x, x = -45/8.