Question 325880
Multiply both sides of the equation by the LCD.

LCD = (x)(x + 4)

[3/(x+4)] *(x)(x + 4) = (2/x) * (x)(x + 4)

3x = 2(x + 4)

3x = 2x + 8

3x - 2x = 8

x = 8

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The Proof:

Let x = 8

3/(8+4)= 2/(8)

3/12 = 2/8

1/4 = 1/4...It checks!!

We can now say with certainty that the right answer is x = 8.