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.