What is the answer to |x-7|=|2x-8| ?

The answer to |x-7|=|2x-8| is x=1\lor x=5

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|x-7|=|2x-8|

∣ x - 7 ∣ = ∣ 2 x - 8 ∣

x = 1 or x = 5

Solution steps

∣ x - 7 ∣ = ∣ 2 x - 8 ∣

Find positive and negative intervals

x < 4, 4 \leq x < 7, x \geq 7

Solve the inequality for each interval

x = 1 or x = 5 or No Solution

x = 1 or x = 5

- 3 x^{2} y^{3} (- 12 x y^{2})

16 \cdot 5

8 \leq 2 m

6 x^{3} - 36 x^{2} + 54 x

4 x^{2} - 8 x y - 32 y^{2}