Solve for x: 3 over 3x + 1 over x+4 = 10 over 7x

3

Step-by-step explanation:

3/3x + 1/x+4 = 10/7x

3/3x + 1/x+4 = 10/7x, x=0, x=-4

1/x + 1/x+4 = 10/7x

1/x + 1/x+4 - 10/7x = 0

7 (x+4) + 7x-10 (x+4) / 7x * (x+4) = 0

7x+28+7x-10x-40 / 7x * (x+4) = 0

4x-12 / 7x * (x+4) = 0

4x-12=0

4x-=12

x=3, x=0, x=-4

x=3