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x-3<2x+4
Multiply both sides of the equation by 2. Since 2 is positive, the inequality direction remains the same.
x-3-2x<4
Subtract 2x from both sides.
-x-3<4
Combine x and -2x to get -x.
-x<4+3
Add 3 to both sides.
-x<7
Add 4 and 3 to get 7.
x>-7
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.