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3x+6>2x-24
Multiply both sides of the equation by 6, the least common multiple of 2,3. Since 6 is positive, the inequality direction remains the same.
3x+6-2x>-24
Subtract 2x from both sides.
x+6>-24
Combine 3x and -2x to get x.
x>-24-6
Subtract 6 from both sides.
x>-30
Subtract 6 from -24 to get -30.