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

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

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|2x+1|=3x-4

∣ 2 x + 1 ∣ = 3 x - 4

x = 5

Solution steps

∣ 2 x + 1 ∣ = 3 x - 4

Find positive and negative intervals

x < - \frac{1}{2}, x \geq - \frac{1}{2}

Solve the inequality for each interval

No Solution or x = 5

x = 5

∣ x ∣ - 5 = 4

- 2 ∣ 7 d ∣ = 14

∣ x ∣ - 8 = a

∣ 5 - 2 x ∣ = 4

x + ∣ 3 - 2 x ∣ = 4