#### Answer

No solution

#### Work Step by Step

Using the properties of equality, the value of the variable that satisfies the given equation, $
4x+10=2(2x-3)
,$ is
\begin{array}{l}\require{cancel}
4x+10=4x-6
\\\\
4x-4x=-6-10
\\\\
0=-16
\text{ (FALSE)}
.\end{array}
Since the solution above ended with a FALSE statement, there is no solution.