What is the answer to 3-2|3x-4|=8x-3 ?

The answer to 3-2|3x-4|=8x-3 is x=-1

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3-2|3x-4|=8x-3

3 - 2 ∣ 3 x - 4 ∣ = 8 x - 3

x = - 1

Solution steps

3 - 2 ∣ 3 x - 4 ∣ = 8 x - 3

Find positive and negative intervals

x < \frac{4}{3}, x \geq \frac{4}{3}

Solve the inequality for each interval

x = - 1 or No Solution

x = - 1

∣ x - 1 ∣ - 6 = 5

\frac{∣ 9 - x ∣}{20} = 0.1915

∣ 5 x + 2 ∣ = 18

\frac{∣ x - 5 ∣}{6} = 8

∣ x + 1 ∣ = 0.5