What is the answer to |2x+4|=3x-1 ?

The answer to |2x+4|=3x-1 is x=5

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|2x+4|=3x-1

∣ 2 x + 4 ∣ = 3 x - 1

x = 5

Solution steps

∣ 2 x + 4 ∣ = 3 x - 1

Find positive and negative intervals

x < - 2, x \geq - 2

Solve the inequality for each interval

No Solution or x = 5

x = 5

∣ 14 - 6 y ∣ = 10

- ∣ x - 4 ∣ - 3 = - 12

∣ 7 x - 7 ∣ = 21

- 4 + 8 ∣ n - 10 ∣ = 52

∣ 2 y - 3 ∣ = 9