## Intermediate Algebra (12th Edition)

Using the properties of equality, the given equation, $10x-3(2x-4)=4(x+3) ,$ is equivalent to \begin{array}{l}\require{cancel} 10x-6x+12=4x+12 \\\\ 10x-6x-4x=12-12 \\\\ 0=0 .\end{array} Since the solution above ended with a TRUE statement, then the given equation is an identity. The solution is $\text{ the set of all real numbers }.$