What is the answer to |x-1|=5x+10 ?

The answer to |x-1|=5x+10 is x=-3/2

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|x-1|=5x+10

∣ x - 1 ∣ = 5 x + 10

x = - \frac{3}{2}

Decimal Notation

x = - 1.5

Solution steps

∣ x - 1 ∣ = 5 x + 10

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

x = - \frac{3}{2} or No Solution

x = - \frac{3}{2}

∣ q - 8 ∣ = 14

∣ 6 a - 5 ∣ = 4 a

∣ r ∣ = - 2

- 6 ∣ 8 x - 4 ∣ = - 72

\frac{y + 9}{4} = 5