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-x-3<6-4x-5
Combine x and -2x to get -x.
-x-3<1-4x
Subtract 5 from 6 to get 1.
-x-3+4x<1
Add 4x to both sides.
3x-3<1
Combine -x and 4x to get 3x.
3x<1+3
Add 3 to both sides.
3x<4
Add 1 and 3 to get 4.
x<\frac{4}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.