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

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

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

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

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∣ 4 x - 2 ∣ = ∣ x + 1 ∣

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

Solution steps

∣ 4 x - 2 ∣ = ∣ x + 1 ∣

Find positive and negative intervals

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

Solve the inequality for each interval

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

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

∣ x ∣ + ∣ 8 - x ∣ = 0

∣ x - 2 ∣ = ∣ x + 4 ∣

∣ x - 1 ∣ + ∣ x - 2 ∣ + ∣ x - 5 ∣ = 2

∣ x - 2 ∣ + ∣ x - 2 ∣ - ∣ x - 3 ∣ = 8

∣ x - 2 ∣ + ∣ x - 3 ∣ = 1

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