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-2x-3<10x
To find the opposite of 2x+3, find the opposite of each term.
-2x-3-10x<0
Subtract 10x from both sides.
-12x-3<0
Combine -2x and -10x to get -12x.
-12x<3
Add 3 to both sides. Anything plus zero gives itself.
x>\frac{3}{-12}
Divide both sides by -12. Since -12 is negative, the inequality direction is changed.
x>-\frac{1}{4}
Reduce the fraction \frac{3}{-12} to lowest terms by extracting and canceling out 3.