Question : If $(-\frac{1}{2}) \times (x-5) + 3 = -\frac{5}{2}$, then what is the value of $x$?
Option 1: 16
Option 2: 4
Option 3: – 6
Option 4: – 4
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Correct Answer: 16
Solution :
Given:
$(-\frac{1}{2}) \times (x-5) + 3 = -\frac{5}{2}$
⇒ $-\frac{1}{2}x + \frac{5}{2} + 3 = -\frac{5}{2}$
⇒ $-\frac{1}{2}x + \frac{11}{2} = -\frac{5}{2}$
⇒ $-\frac{1}{2}x = -\frac{16}{2}$
⇒ $x = 16$
Hence, the correct answer is 16.
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