Elementary Algebra

Using the properties of equality, the value of the variable that satisfies the given equation, $-2(x+5)+4=-2x+3 ,$ is \begin{array}{l}\require{cancel} -2x-10+4=-2x+3 \\\\ -2x+2x=3+10-4 \\\\ 0=9 \text{ (FALSE)} .\end{array} Since the solution above ended with a FALSE statement, there is no solution.