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

The answer to |x-1|=|2x| is x=-1\lor x= 1/3

Solve for x: |x-1|=|2x|

The solution is x=-1\lor x= 1/3

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∣ x - 1 ∣ = ∣ 2 x ∣

x = - 1 or x = \frac{1}{3}

Decimal

x = - 1, x = 0.33333 \dots

Solution steps

∣ x - 1 ∣ = ∣ 2 x ∣

Find positive and negative intervals

x < 0, 0 \leq x < 1, x \geq 1

Solve the inequality for each interval

x = - 1 or x = \frac{1}{3} or No Solution

x = - 1 or x = \frac{1}{3}

\frac{3}{5} ∣ 10 - 5 x ∣ + 8 = 29

∣ x - 5 ∣ = ∣ - 7 x + 3 ∣

∣ 2 x + 1 ∣ = ∣ 6 x + 1 ∣

∣ 3 a - 1 ∣ = ∣ 2 a + 4 ∣

10 + 8 ∣ 8 k + 3 ∣ = 34