Answer
no solution
Work Step by Step
Using the properties of equality, the solution to the given equation, $
5(2x-7)=2(5x+3)
,$ is
\begin{array}{l}\require{cancel}
10x-35=10x+6
\\\\
10x-10x=6+35
\\\\
0=41 \text{ (FALSE)}
.\end{array}
Since the solution above ended with a false statement, then there is $\text{
no solution
.}$