Multiply both sides of the equation by 2 to get rid of the fraction.
Cancel out
x - 1 ≤ 1 + 2x
-1 - 1 ≤ 2x - x
-2 ≤ x
Bring the x to the left side and reverse the sign
x ≥ -2
ALTERNATIVELY
x - 1 ≤ 1 + 2x
x - 2x ≤ 1 + 1
-x ≤ 2
Divide both sides by -1
-x/-1 ≤ 2/-1
x ≥ -2
NOTE: Whenever you divide by negative, you must reverse the sign