#### Answer

set of all real numbers

#### Work Step by Step

Use the Distributive Property and the properties of equality to solve the given equation, $
3(x+2)-5(x+2)=-2x-4
.$
Using $a(b+c)=ab+ac$ or the Distributive Property, the equation above is equivalent to
\begin{array}{l}\require{cancel}
3x+6-5x-10=-2x-4
.\end{array}
Using the properties of equality, the solution to the equation above is
\begin{array}{l}\require{cancel}
3x-5x+2x=-4-6+10
\\\\
0=0 \text{ (TRUE)}
.\end{array}
Since the solution above ended with a TRUE statement, then the solution to the given equation is the $\text{
set of all real numbers
.}$