Intermediate Algebra (12th Edition)

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 $\text{ no solution .}$