Intermediate Algebra (12th Edition)

Using the properties of equality, the solution to the given equation, $5(2x-3)=6(x-1)+4x ,$ is \begin{array}{l}\require{cancel} 10x-15=6x-6+4x \\\\ 10x-6x-4x=-6+15 \\\\ 0=9\text{ (FALSE)} .\end{array} Since the solution above ended with a FALSE statement, then there is $\text{ no solution }.$