Solve for x
x>-\frac{46}{21}
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3\times 5x+54>8-6x
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.
15x+54>8-6x
Multiply 3 and 5 to get 15.
15x+54+6x>8
Add 6x to both sides.
21x+54>8
Combine 15x and 6x to get 21x.
21x>8-54
Subtract 54 from both sides.
21x>-46
Subtract 54 from 8 to get -46.
x>-\frac{46}{21}
Divide both sides by 21. Since 21 is positive, the inequality direction remains the same.
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