Multiply both sides of the equation by 18, the least common multiple of 6,9,18. Since 18 is positive, the inequality direction remains the same.
Use the distributive property to multiply 3 by x-2.
Use the distributive property to multiply 2 by x-1.
Add -2 and 7 to get 5.
Subtract 2x from both sides.
Combine 3x and -2x to get x.
Add 6 to both sides.
Add 5 and 6 to get 11.