Solve x over 3 plus 1 over 2 equals 5 over 6.

1. The denominators are 3, 2 and 6, so the least common denominator is 6. 2. Multiply every term on both sides by 6 to clear the fractions. 3. Six times x over 3 gives 2x. 4. Six times 1 over 2 gives 3, and six times 5 over 6 gives 5. 5. The equation is now 2x plus 3 equal to 5. 6. Subtract 3 from both sides to get 2x equal to 2, so x is 1. 7. Answering 3 comes from multiplying only the first term by the denominator. 8. Answering 2 comes from forgetting to halve after 2x is isolated. 9. Answering 6 mistakes the least common denominator itself for the solution. _Source: OpenStax Intermediate Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations", section 2.1 Use a General Strategy to Solve Linear Equations_