Answer
The translated statement is:
$-3x + 15 = -6$
Solving the equation, we get:
$x = 7$
Work Step by Step
We start translating this statement with "negative three times a number."
Translated, this phrase gives us:
$-3x$
The next portion is, "increased by 15," which translates to:
$+15$
The last part, "is $-6$," gives us:
$ = -6$
We put the sentence all together to get:
$-3x + 15 = -6$
We begin solving this equation by subtracting $-15$ from each side:
$-3x = -6 - 15$
$-3x = -21$
We isolate $x$ by itself by dividing each side by $-3$:
$x = 7$