Solve 5 over x plus 8 equals 3 over x for x, and determine if the solution is extraneous or not. x = 12, non-extraneous x = 12, extraneous x = −12, non-extraneous x = −12, extraneous

5 / (x+8) = 3/x
Cross-multiplying:
5x = 3(x + 8)
5x = 3x + 24
2x = 24
x = 12
Substituting x = 12 into the given:
5 / (12 + 8) = 3 / 12
1 / 4 = 1 / 4
No undefined values occurred, so x = 12 is non-extraneous, which is the first choice.