What is the answer to |x-1|=12x+5 ?

The answer to |x-1|=12x+5 is x=-4/13

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|x-1|=12x+5

∣ x - 1 ∣ = 12 x + 5

x = - \frac{4}{13}

Solution steps

∣ x - 1 ∣ = 12 x + 5

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

x = - \frac{4}{13} or No Solution

x = - \frac{4}{13}

7 ∣ 5 x - 4 ∣ + 3 = 31

5 ∣ x - 2 ∣ - 1 = 29

∣ x - 3 ∣ + 4 = 5

∣ y ∣ - 6 = 10

\frac{x}{5} + 4 = 5