What is the answer to |x-1|=12x+3 ?

The answer to |x-1|=12x+3 is x=-2/13

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|x-1|=12x+3

∣ x - 1 ∣ = 12 x + 3

x = - \frac{2}{13}

Decimal Notation

x = - 0.15384 \dots

Solution steps

∣ x - 1 ∣ = 12 x + 3

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

x = - \frac{2}{13} or No Solution

x = - \frac{2}{13}

∣ - 4 x ∣ = 16

∣ x - 1 ∣ = 12 x + 4

∣ x - 1 ∣ = 12 x + 5

7 ∣ 5 x - 4 ∣ + 3 = 31

5 ∣ x - 2 ∣ - 1 = 29