4x - 6 < 2x + 5 is an inequality. It means "4x - 6 is smaller than 2x + 5". An inequality can be solved just like an equation: whatever you do to one side, you also do to the other. Firstly, add 6 to both sides, to get rid of the -6 on the left-hand side to get 4x < 2x + 11. Next, subtract 2x from both sides to get 2x < 11. Finally, divide both sides by 2 to get x < 11/2 (or 5.5).