find the three consecutive integers such that five times the second integers is equal to three times the sum of the other two, plus two

Answer 1

5S= 3(F+T)+2

F=S-1

T=S+1

5S=3(S-1+S+1)+2

5S= 6S+2

S=-2 = Second number

F=-3 = First

T=-1 = Third

-3,-2,-1 are the numbers

5(-2)=3(-1-3)+2

-10=3(-4)+2= -12+2