In given equation: 8/9-4/5=2/9+x, find x

x = -2/15

Step-by-step explanation:

Simplify this work by combining like terms.  On the left side, group the the three constants as follows:

8/9 - 4/5 - 2/9 = x

The LCD here is (5)(9), or 45, and so we multiply all 4 terms by 45:

40 - 36 - 10 = 45x, which simplifies to -6 = 45x

Dividing both sides by 45 yields x = -6/45, or x = -2/15