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2x-5+3x>10
Add 3x to both sides.
5x-5>10
Combine 2x and 3x to get 5x.
5x>10+5
Add 5 to both sides.
5x>15
Add 10 and 5 to get 15.
x>\frac{15}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
x>3
Divide 15 by 5 to get 3.