What is the value of x in the equation: 7x + 14 = 35?

What is the value of x in the equation: 7x + 14 = 35?

• A. 2
• B. 3
• C. 4
• D. 5

Answer: (B)

To solve the equation \(7x + 14 = 35\), we start by isolating the term involving \(x\). First, subtract 14 from both sides of the equation. This gives us: \[ 7x + 14 - 14 = 35 - 14 \] This simplifies to: \[ 7x = 21 \] Next, to solve for \(x\), we need to divide both sides of the equation by 7: \[ \frac{7x}{7} = \frac{21}{7} \] This simplifies to: \[ x = 3 \] Thus, the value of \(x\) is 3. This indicates that option B is indeed the correct value. When you substitute \(x = 3\) back into the original equation: \[ 7(3) + 14 = 35 \] We calculate: \[ 21 + 14 = 35 \] This confirms that our solution is valid. Therefore, the correct answer that satisfies the equation is indeed 3.

To solve the equation (7x + 14 = 35), we start by isolating the term involving (x). First, subtract 14 from both sides of the equation. This gives us:

[

7x + 14 - 14 = 35 - 14

]

This simplifies to:

[

7x = 21

]

Next, to solve for (x), we need to divide both sides of the equation by 7:

[

\frac{7x}{7} = \frac{21}{7}

]

This simplifies to:

[

x = 3

]

Thus, the value of (x) is 3. This indicates that option B is indeed the correct value. When you substitute (x = 3) back into the original equation:

[

7(3) + 14 = 35

]

We calculate:

[

21 + 14 = 35

]

This confirms that our solution is valid. Therefore, the correct answer that satisfies the equation is indeed 3.