What is the answer to |2x-4|-|3-x|-5=0 ?

The answer to |2x-4|-|3-x|-5=0 is x=-4\lor x=6

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|2x-4|-|3-x|-5=0

∣ 2 x - 4 ∣ - ∣ 3 - x ∣ - 5 = 0

x = - 4 or x = 6

Solution steps

∣ 2 x - 4 ∣ - ∣ 3 - x ∣ - 5 = 0

Find positive and negative intervals

x < 2, 2 \leq x \leq 3, x > 3

Solve the inequality for each interval

x = - 4 or No Solution or x = 6

x = - 4 or x = 6

∣ 2 x + 6 ∣ = 8

2 ∣ x - 4 ∣ + 6 = 8

3 \cdot ∣ x ∣ = x^{2} + x - 2

9 + 6 ∣ 7 x + 2 ∣ = - 21

4 ∣ x ∣ - 1 = 15

What is the answer to |2x-4|-|3-x|-5=0 ?
The answer to |2x-4|-|3-x|-5=0 is x=-4\lor x=6
Solve for x: |2x-4|-|3-x|-5=0
The solution is x=-4\lor x=6