What is the answer to |2x+3|-|x+4|=6 ?

The answer to |2x+3|-|x+4|=6 is x=-5\lor x=7

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|2x+3|-|x+4|=6

∣ 2 x + 3 ∣ - ∣ x + 4 ∣ = 6

x = - 5 or x = 7

Solution steps

∣ 2 x + 3 ∣ - ∣ x + 4 ∣ = 6

Find positive and negative intervals

x < - 4, - 4 \leq x < - \frac{3}{2}, x \geq - \frac{3}{2}

Solve the inequality for each interval

x = - 5 or No Solution or x = 7

x = - 5 or x = 7

y, ∣ x ∣ - y = 4

∣ 5 x - 10 ∣ = 25

4 ∣ 2 x + 1 ∣ = 3 x + 18

∣ 3 x + 1 ∣ = ∣ 0.3 x + 1 ∣

- 5 = 2 ∣ x ∣ - 6

What is the answer to |2x+3|-|x+4|=6 ?
The answer to |2x+3|-|x+4|=6 is x=-5\lor x=7
Solve for x: |2x+3|-|x+4|=6
The solution is x=-5\lor x=7