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Aufgabe

Lösungsschritte

1. Understand the question

   solve $\frac{5}{x - 6} + 2 = \frac{21}{x - 6}$. what is x?
   x equals 7
   x equals 6
   x equals -6
   x equals 14

2. Explanation

   Step1: Eliminate denominator

   Multiply all terms by $(x-6)$:
   $$5 + 2(x-6) = 21$$

   Step2: Expand the bracket

   Calculate $2(x-6)$:
   $$5 + 2x - 12 = 21$$

   Step3: Simplify left side

   Combine constant terms:
   $$2x - 7 = 21$$

   Step4: Isolate variable term

   Add 7 to both sides:
   $$2x = 28$$

   Step5: Solve for x

   Divide by 2 on both sides:
   $$x = 14$$

3. Final answer

   x equals 14

Antwort

Question Analysis

OCR Text

solve $\frac{5}{x - 6} + 2 = \frac{21}{x - 6}$. what is x?
x equals 7
x equals 6
x equals -6
x equals 14

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