5x + 3 < 6x + 2
Get x on one side.
Subtract 6x from both sides.
-1x + 3 < 2
Get x by itself.
Subtract 3 from both sides.
-1x < -1
Divide both sides by -1.
Remember to flip the inequality with it's opposing inequality sign when dividing or multiplying by a negative.
x _> 1 is your answer.
I hope this helps!