Verified Answer :

it should be :
1/3(x + 18) = 7
1/3x + 6 = 7
1/3x + 6 - 6 = 7 - 6
1/3x = 1
x = 3

Answer:

(B)

Step-by-step explanation:

The given expression is:

\(\frac{1}{3}(x+18)=7\)

Upon solving the above expression, we get

\(\frac{1}{3}(x+18)=7\)

Step 1. Solving the above equation, we get

\(\frac{1}{3}x+6=7\)

Step 2. Subtracting 6 on both the sides of the above equation, we have

\(\frac{1}{3}x+6-6=7-6\)

Step 3. The equation can be written as:

\(\frac{1}{3}x=1\)

Step 4. Cross multiplying the above equation , we have

\(x=3\)

She made an error in step 2 as she added 6 on right hand side but in actual we have to subtract 6 on that side.

Thus, option (B) is correct.