What is the answer to 5-|x-3|=6-|x-10| ?

The answer to 5-|x-3|=6-|x-10| is x=6

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5-|x-3|=6-|x-10|

5 - ∣ x - 3 ∣ = 6 - ∣ x - 10 ∣

x = 6

Solution steps

5 - ∣ x - 3 ∣ = 6 - ∣ x - 10 ∣

Find positive and negative intervals

x < 3, 3 \leq x < 10, x \geq 10

Solve the inequality for each interval

No Solution or x = 6

x = 6

∣ - 6 x - 5 ∣ = 41

∣ 6 x ∣ = 0

y, ∣ x - y ∣ = 0

x^{2} - 3 x ∣ - 2 ∣ = 2

- 5 \frac{r}{4} = - 5