What is the answer to |x-1|=5x+2 ?

The answer to |x-1|=5x+2 is x=-1/6

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|x-1|=5x+2

∣ x - 1 ∣ = 5 x + 2

x = - \frac{1}{6}

Decimal Notation

x = - 0.16666 \dots

Solution steps

∣ x - 1 ∣ = 5 x + 2

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

x = - \frac{1}{6} or No Solution

x = - \frac{1}{6}

\frac{m n ^{- 4}}{p ^{0} q ^{- 2}}

3 a + 2 + 4 a = 23

5 - \frac{x}{2} = 1

z^{2} + 5 z + 6 = 0

8 x^{2} + 30 x + 25