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5x-2\left(2x-3\right)>10
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-4x+6>10
Use the distributive property to multiply -2 by 2x-3.
x+6>10
Combine 5x and -4x to get x.
x>10-6
Subtract 6 from both sides.
x>4
Subtract 6 from 10 to get 4.