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

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

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

The solution is x=-2\lor x= 2/3

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2 ∣ x ∣ = 1 + ∣ x - 1 ∣

x = - 2 or x = \frac{2}{3}

Decimal

x = - 2, x = 0.66666 \dots

Solution steps

2 ∣ x ∣ = 1 + ∣ x - 1 ∣

Find positive and negative intervals

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

Solve the inequality for each interval

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

x = - 2 or x = \frac{2}{3}

∣ 3 x + 5 ∣ = ∣ 2 x - 3 ∣

∣ 3 (x + 4) - 7 ∣ = 20

∣ 2 x - 9 ∣ = ∣ x - 6 ∣

∣ 3 k - 8 ∣ = 4

∣ x - 19 ∣ = x^{2} - 19 x

What is the answer to 2|x|=1+|x-1| ?
The answer to 2|x|=1+|x-1| is x=-2\lor x= 2/3
Solve for x: 2|x|=1+|x-1|
The solution is x=-2\lor x= 2/3