Question 134525
Solve for x: -8x-21=-23 2/3

The first thing you want to do is rewrite the mixed number -23_2/3 as an improper fraction.

So, -23_2/3 becomes -(71/3).

We now have -8x - 21 = -(71/3)

We multiply every term on BOTH sides of the fractional equation by -3 to remove the fraction on the right side.

It is easier working without fractions.

-8x times -3 = 24x

-21 times - 3 = 63

-(71/3) times - 3 = 71

We now have this linear equation:

24x + 63 = 71

Subtract 63 from 71 and then equate difference to 24x.

24x = 8

Divide both sides by 24 to find x.

x = 8/24

x = 1/3

Got it?

-