#### Answer

no solution

#### Work Step by Step

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 $\text{
no solution
}.$