Answer
an identity
Work Step by Step
Using the properties of equality, the solution to the given equation, $
2(7-x)-20=7x-3(2+3x)
$, is
\begin{array}{l}
14-2x-20=7x-6-9x
\\\\
-2x-7x+9x=-6-14+20
\\\\
0=0
\text{ (TRUE)}
.\end{array}
Since the solution above ended with a TRUE statement, then the given equation is $\text{
an identity
.}$