Answer
The equation specified by the problem is:
$-6x = 20$
Solving for $x$ gives us:
$x = -\frac{10}{3}$
Work Step by Step
We first translate this sentence into an algebraic equation.
The first part of the problem wants us to multiply a number by $-6$, so we have:
$x(-6)$
We rearrange this expression to make it look more conventional:
$-6x$
The other part of the equation is that this expression should be made equal to $20$, so we have now:
$-6x = 20$
Now, we solve the equation for $x$ by dividing both sides by $-6$:
$x = -\frac{20}{6}$
We can simplify the answer by reducing the fraction (dividing both the numerator and denominator by $2$):
$x = -\frac{10}{3}$