We would have to solve the equation
[tex]9(2x+\frac{1}{3})=39[/tex]
Step by step to determine if Timothy made a mistake.
Step 1
Expand the bracket
[tex]\begin{gathered} (9\times2x)\text{ +(9}\times\frac{1}{3})=39 \\ 18x+3\text{ = 39} \end{gathered}[/tex]
Hence, his step 1 is correct.
Step 2
Bring like terms together
[tex]\begin{gathered} 18x=39-3 \\ 18x=36 \end{gathered}[/tex]
Step 3
Simplify step 2 and find the value of x
[tex]\begin{gathered} \frac{18x}{18}=\frac{36}{18} \\ x=2 \end{gathered}[/tex]
Hence, from all the steps through 1 to 3, we can conclude that Timothy did not make a mistake. Hence the right answer is option D
