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

The answer to |2x+3|=5x-4 is x= 7/3

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|2x+3|=5x-4

∣ 2 x + 3 ∣ = 5 x - 4

x = \frac{7}{3}

Decimal Notation

x = 2.33333 \dots

Solution steps

∣ 2 x + 3 ∣ = 5 x - 4

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = \frac{7}{3}

x = \frac{7}{3}

x + ∣ x - 1 ∣ = 3

∣ 3 x + 6 ∣ = 21

∣ 20 - 9 m ∣ = 7

- 12 = ∣ d + 6 ∣

2 ∣ q ∣ = 6