Question 746948
-3(x+1)-x/2+3/2<0

First step is to distribute. 

-3x-3-x/2+3/2<0

Now, combine like terms.

-7x/2-3/2<0

Add 3/2 to both sides.

-7x/2 < 3/2

Multiply both sides by 2.

-7x < 3

Divide both sides by -7, which switches the sign of the inequality (multiplying or dividing by a negative number results in a switch of the sign)

x > -3/7