What is the answer to |x-1|=12x+4 ?

The answer to |x-1|=12x+4 is x=-3/13

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|x-1|=12x+4

∣ x - 1 ∣ = 12 x + 4

x = - \frac{3}{13}

Decimal Notation

x = - 0.23076 \dots

Solution steps

∣ x - 1 ∣ = 12 x + 4

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

x = - \frac{3}{13} or No Solution

x = - \frac{3}{13}

∣ x - 1 ∣ = 12 x + 5

7 ∣ 5 x - 4 ∣ + 3 = 31

5 ∣ x - 2 ∣ - 1 = 29

∣ x - 3 ∣ + 4 = 5

∣ y ∣ - 6 = 10