#### Answer

No solution.

#### Work Step by Step

Using 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 a contradiction.