Questions: Question 4. Which of the following is the solution to the equation 2 x+5=17 ? A. -6 C. 6 B. 23/2 D. 17/2

Question 4. Which of the following is the solution to the equation 2 x+5=17 ? A. -6 C. 6 B. 23/2 D. 17/2
Transcript text: Question 4. Which of the following is the solution to the equation $2 x+5=17$ ? A. -6 C. 6 B. $\frac{23}{2}$ D. $\frac{17}{2}$
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Solution

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Solution Steps

To solve the equation \(2x + 5 = 17\), we need to isolate the variable \(x\). We can do this by first subtracting 5 from both sides of the equation and then dividing both sides by 2.

Step 1: Isolate the variable term

We start with the given equation: \[ 2x + 5 = 17 \]

To isolate the term with the variable \( x \), we need to subtract 5 from both sides of the equation: \[ 2x + 5 - 5 = 17 - 5 \] \[ 2x = 12 \]

Step 2: Solve for \( x \)

Next, we divide both sides of the equation by 2 to solve for \( x \): \[ \frac{2x}{2} = \frac{12}{2} \] \[ x = 6 \]

Final Answer

The solution to the equation \( 2x + 5 = 17 \) is: \[ \boxed{x = 6} \]

Thus, the correct answer is: \[ \boxed{\text{C}} \]

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