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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