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8x-31>24+3x
Use the distributive property to multiply 3 by 8+x.
8x-31-3x>24
Subtract 3x from both sides.
5x-31>24
Combine 8x and -3x to get 5x.
5x>24+31
Add 31 to both sides.
5x>55
Add 24 and 31 to get 55.
x>\frac{55}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
x>11
Divide 55 by 5 to get 11.