Question

How many solutions is 8x+47=8(x+5)

Answer 1

8x + 47 = 8x + 40

No solutions  (the above 2 expressions cannot be equal for any value of x)

Answer 2

$8x+47=8(x+5)$
$8x+47=8x+40$
$8x+47-47=8x+40-47$
$8x=8x-7$
$8x-8x=8x-7-8x$
$0=-7$
there is no solutions 
Hope this helps :)