What is the answer to |3x-16|=5x-6 ?

The answer to |3x-16|=5x-6 is x= 11/4

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|3x-16|=5x-6

∣ 3 x - 16 ∣ = 5 x - 6

x = \frac{11}{4}

Decimal Notation

x = 2.75

Solution steps

∣ 3 x - 16 ∣ = 5 x - 6

Find positive and negative intervals

x < \frac{16}{3}, x \geq \frac{16}{3}

Solve the inequality for each interval

x = \frac{11}{4} or No Solution

x = \frac{11}{4}

∣ 2 - 3 t ∣ + 1 = 12

2 ∣ x - 10 ∣ = 14

∣ y - 4 ∣ + 5 = 15

- \frac{∣ p ∣}{5} + 8 = 3

∣ x - 4 ∣ = 31