Solve for x: 2x + 5 = 17

Solve for x: 2x + 5 = 17

• A. A) 5
• B. B) 6
• C. C) 7
• D. D) 6

Answer: (B)

To solve the equation \(2x + 5 = 17\), the first step is to isolate the term containing \(x\). Start by subtracting 5 from both sides of the equation: \[ 2x + 5 - 5 = 17 - 5 \] This simplifies to: \[ 2x = 12 \] Next, to solve for \(x\), divide both sides by 2: \[ \frac{2x}{2} = \frac{12}{2} \] This results in: \[ x = 6 \] Thus, the solution to the equation \(2x + 5 = 17\) is \(x = 6\). This means that when substituting \(6\) back into the original equation, it satisfies the equation as follows: \[ 2(6) + 5 = 12 + 5 = 17 \] Hence, the value \(6\) is the correct answer, confirming that it satisfies the given equation perfectly.

To solve the equation (2x + 5 = 17), the first step is to isolate the term containing (x). Start by subtracting 5 from both sides of the equation:

[

2x + 5 - 5 = 17 - 5

]

This simplifies to:

[

2x = 12

]

Next, to solve for (x), divide both sides by 2:

[

\frac{2x}{2} = \frac{12}{2}

]

This results in:

[

x = 6

]

Thus, the solution to the equation (2x + 5 = 17) is (x = 6). This means that when substituting (6) back into the original equation, it satisfies the equation as follows:

[

2(6) + 5 = 12 + 5 = 17

]

Hence, the value (6) is the correct answer, confirming that it satisfies the given equation perfectly.