Answer
a contradiction
Work Step by Step
Using the order of operations and the properties of equality, the solution to the given equation, $
-2[3(x-2)+4]=4(5-x)-2x
$, is
\begin{array}{l}
-2[3x-6+4]=20-4x-2x
\\\\
-2[3x-2]=20-6x
\\\\
-6x+4=20-6x
\\\\
-6x+6x=20-4
\\\\
0=16
\text{ (FALSE)}
.\end{array}
Since the solution above ended with a FALSE statement, then the given equation is $\text{
a contradiction
}$.
