To find x, first subtract 5 from both sides of the inequality.
[tex]-2x+5>17[/tex]
[tex]-2x+5-5>17-5[/tex]
[tex]-2x>12[/tex]
Divide both sides by -2.
[tex]\frac{-2x}{2}[/tex]>[tex]\frac{12}{2}[/tex]
[tex]x<-6[/tex]
When dividing by a negative, the inequality sign must be flipped. Therefore, the solution is x<-6.
