## Elementary Algebra

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.