6x + 3 > 36x + 39
Subtract 6x from both sides:
3 > 30x + 39
Subtract 39 from both sides:
-36 > 30 x
Divide both sides by 30: -36 / 30 = -6/5
-6/5 > x
Reversing the inequality:
x < -6/5 (notice that, if you switch the x and the -6/5, you also have to switch the direction of the inequality sign)
6x + 3 > 36x + 39
Subtract 6x from both sides:
3 > 30x + 39
Subtract 39 from both sides:
-36 > 30 x
Divide both sides by 30: -36 / 30 = -6/5
-6/5 > x
Reversing the inequality:
x < -6/5 (notice that, if you switch the x and the -6/5, you also have to switch the direction of the inequality sign)