Posted by **Molly ** on Tuesday, February 18, 2014 at 8:24pm.

Show all steps solve the equation check for extraneous solution 9|9-8 x|=2x+3

- algebra -
**Reiny**, Tuesday, February 18, 2014 at 8:57pm
9|9-8 x|=2x+3 , x ≥ -3/2

|9-8 x|=(2x+3)/9

9-8x = (2x+3)/9

81 - 72x = 2x+3

-74x = -78

x = -78/-74

x = 39/37

or

9-8x = -(2x+3)/9

81 - 72x = -2x - 3

-70x = -84

x = 87/70 = 6/5

check:

if x = 6/5

LS = 9|9-8(6/5)|

= 27/5

RS = 2(6/5)+3

= 27/5 , so **x = 6/5**

if x = 39/37

LS = 9|9-8(39/37)|

= 189/37

RS = 2(39/37) + 3 = 189/37 , so **x = 39/37**

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