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x-10+5x<6
Add 5x to both sides.
6x-10<6
Combine x and 5x to get 6x.
6x<6+10
Add 10 to both sides.
6x<16
Add 6 and 10 to get 16.
x<\frac{16}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.
x<\frac{8}{3}
Reduce the fraction \frac{16}{6} to lowest terms by extracting and canceling out 2.