Can someone solve this inequality for x

(x-2) a ≤ x+1 if a>1

x ≤ (1+2a) / (a-1) where a > 1

Step-by-step explanation:

(x-2) a ≤ x+1

x (a) - 2 (a) ≤ x + 1

ax - 2a ≤ x + 1 (subtract x from both sides)

ax - 2a - x ≤ 1 (add 2a to both sides)

ax - x ≤ 1 + 2a (factor out x from left side)

x (a - 1) ≤ 1 + 2a

x ≤ (1+2a) / (a-1) where a > 1