The number is $43$.
Work Step by Step
First, we want to translate this word problem into an algebraic equation that we can solve. Let's look at the different pieces of the statement: "Seven subtracted from" means to subtract $7$ from another number. "Five times a number" means to multiply $5$ by an unknown number $x$. "Is $208$" means "$= 208$." Now we can put these parts together to form an algebraic equation: $$5x - 7 = 208$$ To solve this equation, we add $7$ to each side to isolate the variable on one side of the equation and the constants on the other: $$5x = 215$$ Now we divide by $5$ on each side of the equation to solve for $x$: $$x = 43$$