can anyone explain how to solve this question for x ?

|x-1|+2x-8=0

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- Jan 4th 2009, 05:33 PMlola_11Advanced functions review question help !
can anyone explain how to solve this question for x ?

|x-1|+2x-8=0 - Jan 4th 2009, 05:38 PMmr fantastic
$\displaystyle |x - 1| = x -1$ if $\displaystyle x > 1$ and $\displaystyle 1 - x$ if $\displaystyle x \leq 1$. So solve each of the following cases:

Case 1: $\displaystyle x - 1 + 2x - 8 = 0$ and $\displaystyle x > 1$.

Case 2: $\displaystyle 1 - x + 2x - 8 = 0$ and $\displaystyle x \leq 1$.