Answer: [tex]\bold{\dfrac{x-7}{2}=5\qquad \rightarrow \qquad x = 17}[/tex]
Step-by-step explanation:
Monica has some cookies: x
She gave seven to her sister: x - 7
Then she divided the remainder into 2: [tex]\dfrac{x-7}{2}[/tex]
She still had five cookies left: [tex]\dfrac{x-7}{2}=5[/tex]
To solve, multiply both sides by 2, then add 7 to both sides.
[tex]\dfrac{x-7}{2}(2)=5(2)\qquad \rightarrow \qquad x - 7 = 10[/tex]
[tex]x - 7 = 10\qquad \rightarrow \qquad x = 17[/tex]
