What is the answer to |x-5|=4x+7 ?

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

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|x-5|=4x+7

∣ x - 5 ∣ = 4 x + 7

x = - \frac{2}{5}

Decimal Notation

x = - 0.4

Solution steps

∣ x - 5 ∣ = 4 x + 7

Find positive and negative intervals

x < 5, x \geq 5

Solve the inequality for each interval

x = - \frac{2}{5} or No Solution

x = - \frac{2}{5}

∣ x + 46 ∣ = 7

∣ 5 x - 7 ∣ = 14

- 5 ∣ x - 4 ∣ + 4 = 11

- ∣ s - 22 ∣ + 1 = - 2

∣ p - 8 ∣ = - 10