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5x+30>2\left(2x-1\right)
Multiply both sides of the equation by 10, the least common multiple of 2,5. Since 10 is positive, the inequality direction remains the same.
5x+30>4x-2
Use the distributive property to multiply 2 by 2x-1.
5x+30-4x>-2
Subtract 4x from both sides.
x+30>-2
Combine 5x and -4x to get x.
x>-2-30
Subtract 30 from both sides.
x>-32
Subtract 30 from -2 to get -32.