−3>−2x+7
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
−2x+7<−3
Subtract 7 from both sides.
−2x<−3−7
Subtract -7 from −3 to get −10.
−2x<−10
Divide both sides by −2. Since −2 is negative, the inequality direction is changed.

Divide −10 by −2 to get 5.
x>5