I more or less have an understanding, but,
Factor out the GCF of 4x-3 from 5(4x-3)+x(4x-3)
Making it,
(4x-3)(5+x)
Y = 5(3x)....y = total number of bowls and x = number of weeks
for 4 weeks......x = 4
y = 5(3*4)
y = 5(12)
y = 60...so the family will eat 60 bowls in 4 weeks