Nadia is asked to find a number such that the difference between five times the number and three less than twice the number is equal to eighteen. Her work and answer are shown below.

5n−(3−2n)5n−3+2n7n−37nn=====181818213

Is Nadia correct? If not, identify and correct her error.

(1 point)
Responses

Nadia is incorrect; she did not translate the given information into an equation properly. The first equation should be 5n−(2n−3)=18.
Nadia is incorrect; she did not translate the given information into an equation properly. The first equation should be 5 n minus left parenthesis 2 n minus 3 right parenthesis equals 18 .

Nadia is incorrect; she did not combine like terms properly. The third equation should be 3n−3=18.
Nadia is incorrect; she did not combine like terms properly. The third equation should be 3 n minus 3 equals 18 .

Nadia is correct.
Nadia is correct.

Nadia is incorrect; she made a sign error when removing the parentheses. The second equation should be 5n−3−2n=18.

Nadia is incorrect; she did not translate the given information into an equation properly. The first equation should be 5n−(2n−3)=18.