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2\times 3x+5x+4>8
Multiply both sides of the equation by 8, the least common multiple of 4,8. Since 8 is positive, the inequality direction remains the same.
6x+5x+4>8
Multiply 2 and 3 to get 6.
11x+4>8
Combine 6x and 5x to get 11x.
11x>8-4
Subtract 4 from both sides.
11x>4
Subtract 4 from 8 to get 4.
x>\frac{4}{11}
Divide both sides by 11. Since 11 is positive, the inequality direction remains the same.