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6-\left(x+3\right)<15
Multiply both sides of the equation by 3. Since 3 is positive, the inequality direction remains the same.
6-x-3<15
To find the opposite of x+3, find the opposite of each term.
3-x<15
Subtract 3 from 6 to get 3.
-x<15-3
Subtract 3 from both sides.
-x<12
Subtract 3 from 15 to get 12.
x>-12
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.