Elementary Algebra

$x\lt6$
Using the Distributive Property and the properties of inequalities, the solution to the given inequality, $3(x-4)+2(x+3)\lt24 ,$ is \begin{array}{l}\require{cancel} 3x-12+2x+6\lt24 \\\\ 3x+2x\lt24+12-6 \\\\ 5x\lt30 \\\\ x\lt\dfrac{30}{5} \\\\ x\lt6 .\end{array}