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6x-92>100
Combine x and 5x to get 6x.
6x>100+92
Add 92 to both sides.
6x>192
Add 100 and 92 to get 192.
x>\frac{192}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.
x>32
Divide 192 by 6 to get 32.