What is the answer to |2x+9|-|x-4|=5 ?

The answer to |2x+9|-|x-4|=5 is x=-18\lor x=0

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|2x+9|-|x-4|=5

∣ 2 x + 9 ∣ - ∣ x - 4 ∣ = 5

x = - 18 or x = 0

Solution steps

∣ 2 x + 9 ∣ - ∣ x - 4 ∣ = 5

Find positive and negative intervals

x < - \frac{9}{2}, - \frac{9}{2} \leq x < 4, x \geq 4

Solve the inequality for each interval

x = - 18 or x = 0 or No Solution

x = - 18 or x = 0

∣ 8 n + 12 ∣ - 19 = 81

∣ 7 x - 5 ∣ = - 12

∣ 2 x + 7 ∣ = 4 x - 7

∣ x ∣ = 121

x^{2} = x + 3

What is the answer to |2x+9|-|x-4|=5 ?
The answer to |2x+9|-|x-4|=5 is x=-18\lor x=0
Solve for x: |2x+9|-|x-4|=5
The solution is x=-18\lor x=0