The first step would be to distribute each number to the parenthesis. So you would have 5x+20<=8x+12.
Now you can subtract 5x from each side, by the subtraction property of equality (or inequality in this case). You can subtract 8x from each side also, but that results in a -x on one side and that makes it harder to work with later on. After this, you are left with 20<=3x+12.
Now you want to isolate x to one side, and this can be done with the subtraction property of inequality. Subtract 12 from each side of the inequality, 8<=3x.
The next thing you want to do is to get x without a coefficient. This can be done with the division property of inequality. Dividing each side by 3, you would be left with 8/3<=x. (By the symmetric property of inequality you can reverse the inequality sign and make it x>=8/3.
8/3 can also be reduced to 2 2/3 or 2.667 (rounded to the thousandths place).