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2x-21<-13+20-5x
Combine 22x and -20x to get 2x.
2x-21<7-5x
Add -13 and 20 to get 7.
2x-21+5x<7
Add 5x to both sides.
7x-21<7
Combine 2x and 5x to get 7x.
7x<7+21
Add 21 to both sides.
7x<28
Add 7 and 21 to get 28.
x<\frac{28}{7}
Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.
x<4
Divide 28 by 7 to get 4.