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I assume you mean 3/8 = 7/(x+1).
Multiply both sides by x+1.
3/8x + 3/8 = 7
Subtract 3/8 from both sides.
3/8x = 6 5/8 = 53/8
Multiply both sides by 8/3.
x = 53/8 * 8/3 = ?