What is the answer to 2|x|+|x-1|=4x-3 ?

The answer to 2|x|+|x-1|=4x-3 is x=2

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2|x|+|x-1|=4x-3

2 ∣ x ∣ + ∣ x - 1 ∣ = 4 x - 3

x = 2

Solution steps

2 ∣ x ∣ + ∣ x - 1 ∣ = 4 x - 3

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = 2

x = 2

∣ x + 3 ∣ = ∣ 3 x - 1 ∣

∣ x + 142 ∣ = 4

\frac{∣ 3 v - 2 ∣}{5} = 4

∣ x + 5 ∣ + 7 = 3

7 x - \frac{1}{7} = 1