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4x-5<x+20
Multiply both sides of the equation by 2. Since 2 is positive, the inequality direction remains the same.
4x-5-x<20
Subtract x from both sides.
3x-5<20
Combine 4x and -x to get 3x.
3x<20+5
Add 5 to both sides.
3x<25
Add 20 and 5 to get 25.
x<\frac{25}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.