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Question

Solution Steps

1. Understand the question

   solve $\frac{2}{x} + \frac{1}{4} = \frac{7}{2x}$. what is x?
   x equals -3
   x equals 3
   x equals -9
   x equals 6

2. Explanation

   Step1: Eliminate denominators

   Multiply all terms by $4x$ (the least common multiple of $x$, $4$, and $2x$):
   $4x \cdot \frac{2}{x} + 4x \cdot \frac{1}{4} = 4x \cdot \frac{7}{2x}$
   Simplify to get: $8 + x = 14$

   Step2: Isolate the variable $x$

   Subtract 8 from both sides:
   $x = 14 - 8$

3. Final answer

   x equals 6

Answer

Question Analysis

OCR Text

solve $\frac{2}{x} + \frac{1}{4} = \frac{7}{2x}$. what is x?
x equals -3
x equals 3
x equals -9
x equals 6

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