An each-way bet is two bets, and that is the thing to hold onto before anything else.
Ask for a fiver each-way and a tenner leaves your account. Half of it goes on the horse to win. Half goes on it to place, at a fraction of the odds. They settle separately: if the horse wins, both halves pay; if it places without winning, only the place half pays and the win half is lost.
That is why the slip says £10 when you said five. It is the most common surprise in betting, and it is not the bookmaker being sly.
Is it safer? In the sense people usually mean, yes. You get something back more often, and an afternoon of near-misses feels very different from an afternoon of nothing. Backing the favourite each-way places 62%, against wins 35% backing it to win.
Is it cheaper? No. Each-way is not a discount. It is a second bet with its own price, and whether that price is any good depends entirely on the terms.

