Given f(x)=3x-1 and g(x)=2x-3, for which value of x does g(x)=f(2)

So just subsitute 2 for x in f(x)
f(2)=3(2)-1
f(2)=6-1
f(2)=5

so now we have
g(x)=f(2)
subsitute 5 for f(2)
g(x)=5
now solve
5=2x-3
add 3
8=2x
divide 2
4=x

so the answer is x=4 or
g(4)=f(2)

I'm not sure exactly but my best guess would be 1/4