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11x+3>6x+2-x+8
Use the distributive property to multiply 2 by 3x+1.
11x+3>5x+2+8
Combine 6x and -x to get 5x.
11x+3>5x+10
Add 2 and 8 to get 10.
11x+3-5x>10
Subtract 5x from both sides.
6x+3>10
Combine 11x and -5x to get 6x.
6x>10-3
Subtract 3 from both sides.
6x>7
Subtract 3 from 10 to get 7.
x>\frac{7}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.