Solve 5x-13 > 3x-7 for x.

What we're aiming to do is to have the 5x and 3x on the same side, and the constants on the other side of the inequality. So first let's subtract 3x from both sides, which gives 5x-3x-13>-7. Now to 'move' the -13 to the other side of the inequality which gives us 5x-3x>13-7 and this is the same as 2x>6. Now divide both sides by 2 to arrive at the answer, which is x>6.