## Elementary Algebra

$x=$the set of all real numbers
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.