What is the answer to |x-2|+|x-2|-|x-3|=8 ?

The answer to |x-2|+|x-2|-|x-3|=8 is x=-7\lor x=9

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|x-2|+|x-2|-|x-3|=8

∣ x - 2 ∣ + ∣ x - 2 ∣ - ∣ x - 3 ∣ = 8

x = - 7 or x = 9

Solution steps

∣ x - 2 ∣ + ∣ x - 2 ∣ - ∣ x - 3 ∣ = 8

Find positive and negative intervals

x < 2, 2 \leq x < 3, x \geq 3

Solve the inequality for each interval

x = - 7 or No Solution or x = 9

x = - 7 or x = 9

∣ x - 2 ∣ + ∣ x - 3 ∣ = 1

∣ x + 6 ∣ + ∣ x ∣ = 8

x^{2} - 5 = 4

∣ a - 3 ∣ + 2 = 0

x^{2} - 2 x - 8 + x^{2} + x - 2 = 3 ∣ x + 2 ∣

What is the answer to |x-2|+|x-2|-|x-3|=8 ?
The answer to |x-2|+|x-2|-|x-3|=8 is x=-7\lor x=9
Solve for x: |x-2|+|x-2|-|x-3|=8
The solution is x=-7\lor x=9