What is the answer to |6-x|=|3-2x| ?

The answer to |6-x|=|3-2x| is x=-3\lor x=3

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|6-x|=|3-2x|

∣ 6 - x ∣ = ∣ 3 - 2 x ∣

x = - 3 or x = 3

Solution steps

∣ 6 - x ∣ = ∣ 3 - 2 x ∣

Find positive and negative intervals

x \leq \frac{3}{2}, \frac{3}{2} < x \leq 6, x > 6

Solve the inequality for each interval

x = - 3 or x = 3 or No Solution

x = - 3 or x = 3

- 4 < \frac{- 3 x + 1}{- 2} < 4

\frac{11 !}{5 ! 6 !}

\frac{3 x ^{2} - x - 2}{3 x + 2} \leq 0

\frac{- 10}{- 10 - 4}

\frac{12}{11} - (- \frac{2}{3})