What is the answer to |x-3|+|x-5|=|x+7| ?

The answer to |x-3|+|x-5|=|x+7| is x= 1/3 \lor x=15

Solve for x: |x-3|+|x-5|=|x+7|

The solution is x= 1/3 \lor x=15

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∣ x - 3 ∣ + ∣ x - 5 ∣ = ∣ x + 7 ∣

x = \frac{1}{3} or x = 15

Solution steps

∣ x - 3 ∣ + ∣ x - 5 ∣ = ∣ x + 7 ∣

Find positive and negative intervals

x < - 7, - 7 \leq x < 3, 3 \leq x < 5, x \geq 5

Solve the inequality for each interval

No Solution or x = \frac{1}{3} or x = 15

x = \frac{1}{3} or x = 15

x^{3} + 5 x^{2} - 24 x

9 x^{2} - 16 = 24 x - 32

- j + 3 j + 2 = - 14

102 x^{2} - 375 x + 149 = 9273000

2 (- \frac{1}{4})

What is the answer to |x-3|+|x-5|=|x+7| ?
The answer to |x-3|+|x-5|=|x+7| is x= 1/3 \lor x=15
Solve for x: |x-3|+|x-5|=|x+7|
The solution is x= 1/3 \lor x=15