Question 662785
You did a no-no.
The first expression should be
(1) 5*(3*n - 2)
The second should be
(2) 7*(8 + 2*n)
See the difference and why?
In the first you have the product of 5 AND (something) or 5 times (something), that (something) is "2 less than 3 times n" or (3*n - 3), giving you
(1) 5*(3*n - 2)
The same applies to the second expression - 7 times "something", which is now (2*n + 8), giving you (2). 
The expressions (1) and (2) are equal so we get
(3) 5*(3*n-2) = 7*(2*n+8)
Multiplying (3) out you get
(4) 15*n - 10 = 14*n + 56
Simplify (4) to get
(5) n = 66
Is this correct? Let's check with (3)
Is (5*(3*66-2) = 7*(2*66+8))?
Is (5*(198-2) = 7*(132+8))?
Is (5*196 = 7*140)?
Is (980 = 980)? Yes
Answer: the number is 66.