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2x+1>3\times 5
Multiply both sides by 5. Since 5 is positive, the inequality direction remains the same.
2x+1>15
Multiply 3 and 5 to get 15.
2x>15-1
Subtract 1 from both sides.
2x>14
Subtract 1 from 15 to get 14.
x>\frac{14}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
x>7
Divide 14 by 2 to get 7.