Question

−43 times a number minus 5050 is equal to 7272 less than the number

Answer 1

-43n - 5050 = 7272
Add 5050
-43n = 12322
Divide by -43
n = -286.56

Answer 2

Greetings!

"−43 times a number minus 5050 is equal to 7272 less than the number."...

The phrase expressed as an equation is:
$-43x-5050=x-7272$

Add 5050 and subtract x from both sides.
$(-43x-5050)+5050-x=(x-7272)+5050-x$
Simplify.
$-44x=-2222$
Divide both sides by -44.
$(-44x)/-44=(-2222)/-44$
Simplify.
$x=50.5$

The variable is equal to 50.5.

Hope this helps.
-Benjamin