if 3+x / 7+x = 3/7 + 3/7, then x= what

Don't post the same question using different names please.

Well, the spacing makes me interpret this as

(3+x)/(7+x) = 3/7 + 3/7

I still suspect a typo on the right side, but now at least we have

(3+x)/(7+x) = 6/7
7(3+x) = 6(7+x)
21+7x = 42+6x
x = 21

To solve the equation (3+x)/(7+x) = 3/7 + 3/7, we'll need to simplify it step by step.

1. First, simplify the right side of the equation:
3/7 + 3/7 = 6/7

2. Now substitute this value back into the equation:
(3+x)/(7+x) = 6/7

3. Cross-multiply:
7(3+x) = 6(7+x)

4. Expand the equation:
21 + 7x = 42 + 6x

5. Simplify by subtracting 6x from both sides:
7x - 6x = 42 - 21
x = 21

Therefore, x is equal to 21.