Solve: 1/2x+3<4x-7

Subtract 1/2x from each side.

You are left with 3 < 3 1/2x - 7
Add 7 to each side.
You get 10 < 3 1/2x
Divide each side by 3 1/2 to isolate x.
Your answer is 10/3 1/2 < x
Simplify 10/3 1/2.