Answer
a contradiction
Work Step by Step
Using the order of operations and the properties of equality, the solution to the given equation, $
5(x-7)=3(x-2)+2x
$, is
\begin{array}{l}
5x-35=3x-6+2x
\\\\
5x-3x-2x=-6+35
\\\\
0=29
\text{ (FALSE)}
.\end{array}
Since the solution above ended with a FALSE statement, then the given equation is $\text{
a contradiction
}$.
