Solve. | 8x - 3 | = x + 4  Enter your two answers separated by a comma. 

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Absolute value represents the distance from zero on a number line.  Therefore to solve this absolute value equation we must represent both distances from zero.  

Splittin this in to eqch equation makes the 2 equations given.

a)  `8x - 3 = x + 4`

       `7x = 7`

        `x = 1`

b)  `-(8x-3) = x + 4`

      `-8x + 3 = x + 4`

           `-9x = 1`

             `x = -1/9`

The solutions are `x = 1`  and `x = -1/9`

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