How do you solve 9/x+2=2/9

38.5 = x

Step-by-step explanation:

9/ (x+2) = 2/9

Using cross products

9*9= 2(x+2)

Distribute

81 = 2x+4

Subtract 4 from each side

81-4 = 2x+4-4

77= 2x

Divide each side by 2

77/2 = 2x/2

38.5 = x

x= -16

Step-by-step explanation:

first subtract 2 from both sides: 9/x= 2/9 - 2

then turn 2 into a fraction with a denominator of 9: 9/x= 2/9 - 18/9

then divide both side of the equation by 9: x= 2- 18

simplify: x= -16