-17<3-5x
Since x is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
3-5x>-17
Since 3 does not contain the variable to solve for, move it to the right-hand side of the inequality by subtracting 3 from both sides.
-5x>-3-17
-17<3-5x
Subtract 17 from -3 to get -20.
-5x>-20
Divide each term in the inequality by -5.
-(5x)/(-5)<-(20)/(-5)
Simplify the left-hand side of the inequality by canceling the common terms.
x<-(20)/(-5)
Simplify the right-hand side of the inequality by simplifying each term.
x<4