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To solve the inequality 2x(5*2-3) > x(3-5)-2(x-1), we need to simplify both sides and isolate the variable x. Let's go through the process step by step:
1. Simplify the expressions on both sides:
2x(10-3) > x(3-5)-2(x-1)
2x(7) > x(-2)-2x+2
14x > -2x-2x+2
2. Combine like terms on the right side of the inequality:
14x > -4x+2
3. Add 4x to both sides of the inequality to isolate the x term:
14x + 4x > -4x + 2 + 4x
18x > 2
4. Divide both sides of the inequality by 18 to solve for x:
(18x)/18 > 2/18
x > 1/9
So, the correct solution to the inequality is x > 1/9, not x > 2/18.