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7x-3-8x<23
Subtract 8x from both sides.
-x-3<23
Combine 7x and -8x to get -x.
-x<23+3
Add 3 to both sides.
-x<26
Add 23 and 3 to get 26.
x>-26
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.