Answer
The statement translates to the equation:
$−5x + 11 = −29$.
Solving for $x$, we get:
$x = 8$.
Work Step by Step
We start translating this statement with "negative five times a number."
Translated, this phrase gives us:
$−5x$
The next portion is, "increased by $11$," which translates to:
$+11$
The last part, "is $−29$," gives us:
$ = −29$
We put the sentence all together to get:
$−5x + 11 = −29$
We begin solving this equation by subtracting $−11$ from each side:
$−5x + 11 = −29$
$−5x = −40$
We isolate $x$ by itself by dividing each side by $−5$:
$x = 8$