Answer:
q = 46
Step-by-step explanation:
[tex]\dfrac{2q+8}{10}=10\\\\\text{We simplify the equation by getting rid of the denominator.}\\\\\bold{multiply\ both\ sides\ by\ 10}\\\\10\!\!\!\!\!\diagup^1\cdot\dfrac{2q+8}{10\!\!\!\!\!\diagup_1}=(10)(10)\\\\2q+8=100\qquad\bold{subtract\ 8\ form\ both\ sides}\\\\2q+8-8=100-8\\\\2q=92\qquad\bold{divide \both\ sides\ by\ 2}\\\\\dfrac{2q}{2}=\dfrac{92}{2}\\\\q=46[/tex]
