What is the answer to |-4+5x|=17x ?

The answer to |-4+5x|=17x is x= 2/11

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|-4+5x|=17x

∣ - 4 + 5 x ∣ = 17 x

x = \frac{2}{11}

Decimal

x = 0.18181 \dots

Solution steps

∣ - 4 + 5 x ∣ = 17 x

Find positive and negative intervals

x < \frac{4}{5}, x \geq \frac{4}{5}

Solve the inequality for each interval

x = \frac{2}{11} or No Solution

x = \frac{2}{11}

∣ 2 x - 1 ∣ = ∣ 4 x + 3 ∣

5 ∣ 9 - 5 x ∣ - 7 = 38

∣ x ∣ - ∣ y ∣ = 1

3 x^{2} - x = 8 + x

- 4 ∣ k ∣ = 12