Question

if 3x + 8 = 14, what is the value of 6x + 16?
a 12
b 20
c 22
d 44

Explanation:

Step1: Solve for $x$ in $3x + 5=14$

Subtract 5 from both sides: $3x=14 - 5=9$. Then divide both sides by 3, so $x = \frac{9}{3}=3$.

Step2: Find the value of $6x+16$

Substitute $x = 3$ into $6x+16$. We get $6\times3+16=18 + 16=34$. But there seems to be a mistake above. Let's solve it in another way.
Notice that $6x+16 = 2(3x + 8)$. Given $3x+5 = 14$, then $3x=9$ and $3x + 8=9 + 3=12$. So $2(3x + 8)=2\times12 = 24$.

Answer:

B. 24