#### Answer

$x=$the set of all real numbers

#### Work Step by Step

Using the properties of equality, the value of the variable that satisfies the given equation, $
3(2x+4)-5=6x+7
,$ is
\begin{array}{l}\require{cancel}
6x+12-5=6x+7
\\\\
6x-6x=7-12+5
\\\\
0=0
\text{ (TRUE)}
.\end{array}
Since the solution above ended with a TRUE statement, then the solution is the set of all real numbers.