PSAT Math Grid-Ins Question 61: Answer and Explanation
Question: 61
(3x + 2) + 3 = 2x + 3 Solve the equation for the unknown.
Correct Answer: 2/3
Explanation:
2/3, 
is the only correct solution. Converting the fraction makes it a repeating decimal and an inaccurate solution.
| 3x + 2 + 9 = 6x + 9 | Multiply all terms by the least common denominator of 3 to eliminate the fractions. |
| 3x + 11 = 6x + 9 | Combine like terms on the left side of the equation. |
| -3x + 11 = 9 | Subtract 6x from both sides of the equation. |
| -3x = 2 | Subtract 11 from both sides of the equation. |
| x = 2/3 | Divide both sides of the equation by -3. |
See Lesson: Equations with One Variable.
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