Are the two expressions equivalent? 2w +3w +2(w+5) -6w + 2(9 w+3) + (38 -4w) and 3(5w+18)

Yes it is.

step1: take the numbers with the variable and separate them from the ones without a variable

2w+3w+2w-6w+18w-4w= 15w

step2: take the rest of the numbers

10+6+38= 54

step 3: solve the problem after the "and"

15w+54

step4: compare both equations 

note: whenever there is a number or variable outside the () make sure you multiply or the answer will be wrong