Question

5 less than the quotient of a number and -7 is twelve

Answer 1

$\huge\boxed{-119}$

First, write the problem as an equation.

The quotient of a number and $-7$: $\dfrac{x}{-7}$

$5$ less than: $-5$

is twelve: $=12$

Put it all together now: $\dfrac{x}{-7}-5=12$

Start by adding $5$ to both sides of the equation. Our goal is to get $x$ on one side of the equal sign and everything else on the other side: $\dfrac{x}{-7}=17$

Now multiply both sides by $-7$: $x=\boxed{-119}$

This means that the number equals $-119$.