Answer:
1. find the least common denominator for the left-hand side fraction. This brings you to 8/8x + 3x/8x = 1/2
2. Add the numerator on the left-hand side of this equation, (8+3x)/8x = 1/2
3. Multiply both sides by 2, that will lead you to (8+3x)/4x =1/1
4. Multiply both sides by 4x, we get 8+3x=4x
5. Finally, subtracting 3x from both sides simplifies the equation to x=8. Note that this is as simple as this expression can get so you can not go any further, therefore 1/x+3/8=1/2 simplifies to x=8.
Explanation: