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x-5<10-2x
Use the distributive property to multiply 2 by 5-x.
x-5+2x<10
Add 2x to both sides.
3x-5<10
Combine x and 2x to get 3x.
3x<10+5
Add 5 to both sides.
3x<15
Add 10 and 5 to get 15.
x<\frac{15}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
x<5
Divide 15 by 3 to get 5.