C: infiitely many
8x+47 does not equal 8(x+6) because 8*x=8x and 8*6=48
We could try to simplify 8x+47=8x+48 but since it already doesn't match, it won't get us anywhere.
Subtract 47 from both sides to get 8x=8x+1
Subtract 8x from both sides which gets you 0=1 which certainly does not equal eachother.
So, therefore, there are no solutions to this equation.