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