What is the answer to |4x-2|=|x-1| ?

The answer to |4x-2|=|x-1| is x= 1/3 \lor x= 3/5

Solve for x: |4x-2|=|x-1|

The solution is x= 1/3 \lor x= 3/5

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∣ 4 x - 2 ∣ = ∣ x - 1 ∣

x = \frac{1}{3} or x = \frac{3}{5}

Decimal Notation

x = 0.33333 \dots, x = 0.6

Solution steps

∣ 4 x - 2 ∣ = ∣ x - 1 ∣

Find positive and negative intervals

x < \frac{1}{2}, \frac{1}{2} \leq x < 1, x \geq 1

Solve the inequality for each interval

x = \frac{1}{3} or x = \frac{3}{5} or No Solution

x = \frac{1}{3} or x = \frac{3}{5}

2 x^{2} + 3 + 4 x^{3} + 1

x^{2} + 4 x - 12

- 4 a^{2} - 12 a + 40 = - 4 (a + 5) (a - 2)

- 2 x \leq \frac{- 3 ( x + 1 )}{2}

- 8 h^{2} - 13 h + 6

What is the answer to |4x-2|=|x-1| ?
The answer to |4x-2|=|x-1| is x= 1/3 \lor x= 3/5
Solve for x: |4x-2|=|x-1|
The solution is x= 1/3 \lor x= 3/5