What is the answer to 2|3x-7|=10x-8 ?

The answer to 2|3x-7|=10x-8 is x= 11/8

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2|3x-7|=10x-8

2 ∣ 3 x - 7 ∣ = 10 x - 8

x = \frac{11}{8}

Decimal Notation

x = 1.375

Solution steps

2 ∣ 3 x - 7 ∣ = 10 x - 8

Find positive and negative intervals

x < \frac{7}{3}, x \geq \frac{7}{3}

Solve the inequality for each interval

x = \frac{11}{8} or No Solution

x = \frac{11}{8}

∣ 2 x + 7 ∣ + 7 = 4 x

∣ 3 x - 10 ∣ - 2 = 5 x

∣ 11 + x ∣ = 4

21 = ∣ 7 y ∣

- 3 ∣ x - 1 ∣ - 6 = 3