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

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

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|2x+3|+4=5x

∣ 2 x + 3 ∣ + 4 = 5 x

x = \frac{7}{3}

Decimal Notation

x = 2.33333 \dots

Solution steps

∣ 2 x + 3 ∣ + 4 = 5 x

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}

2 ∣ 4 x ∣ - 5 = - 3

∣ - 2 n ∣ - 30 = - 20

5 ∣ x - 1 ∣ = x + 11

- 2 ∣ 3 x - 1 ∣ = 0

- 2 ∣ x ∣ = 8