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6x-50+2x>90
Use the distributive property to multiply -2 by 25-x.
8x-50>90
Combine 6x and 2x to get 8x.
8x>90+50
Add 50 to both sides.
8x>140
Add 90 and 50 to get 140.
x>\frac{140}{8}
Divide both sides by 8. Since 8 is positive, the inequality direction remains the same.
x>\frac{35}{2}
Reduce the fraction \frac{140}{8} to lowest terms by extracting and canceling out 4.