## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$m=-\dfrac{20}{7}$
Using $a(b+c)=ab+ac$ (or the Distributive Property) and combining like terms, the value of the variable that satisfies the given expression, $2(5-m)=5(6+m) ,$ is \begin{array}{l}\require{cancel} 10-2m=30+5m \\\\ -2m-5m=30-10 \\\\ -7m=20 \\\\ m=\dfrac{20}{-7} \\\\ m=-\dfrac{20}{7} .\end{array}