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2x-3>5x+10
Use the distributive property to multiply 5 by x+2.
2x-3-5x>10
Subtract 5x from both sides.
-3x-3>10
Combine 2x and -5x to get -3x.
-3x>10+3
Add 3 to both sides.
-3x>13
Add 10 and 3 to get 13.
x<-\frac{13}{3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.