The quotient of a number and -7, decreased by 2, is 10. How do you find the number?

##-84##

Let ##x## be the unknown number.

From the queston we can form the equation

##x/((-7)) - 2 = 10##

Move ##-2## to the right hand side

##x/((-7)) = 10+2##

##x/((-7)) = 12##

Multiply both sides by ##-7## to get the unkonwn no.

##cancel(-7) * x/(cancel((-7))) = 12 * (-7)##

##x=-84##