Practice Quiz

SAT Math

Category - Algebra and Functions

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What is the solution for the equation (x − 3)/2 − (x + 1)/4 = 2 − (x + 5)/6 ?
  1. 4
  2. 5
  3. 6
  4. 7
Explanation
Answer: D - The solution for the equation is 7.
(x − 3)/2 − (x + 1)/4 = 2 − (x + 5)/6 × 12
12 × (x − 3)/2 − 12 × (x + 1)/4 = 12 × 2 − 12 × (x + 5)/6
6(x − 3) − 3(x + 1) = 24 − 2(x + 5)
6x − 18 − 3x − 3 = 24 − 2x − 10
3x − 21 = 14 − 2x
3x + 2x = 14 + 21
5x = 35
x = 35/5
x = 7
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