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A 10.5 inch wide wheel takes a 285 to 305 tire and is the rear width on a Corvette, Camaro, Challenger or M4 staggered set. Offset decides where a 23x10.5 ends up. The same wheel tucks at one offset and sits flush at another, and the caliper behind it sets the floor.
15 designs on this site come in 23x10.5, and the same diameter comes in 3 other widths, 23x10, 23x11 and 23x12 among them. Most 23x10.5 designs are drilled for 5x112, 5x114.3 and 5x120. The same 23x10.5 sits three different ways at three offsets, so the number that matters is offset against your fenders and brakes. Pick your car and the page keeps only the sets that clear.