What is the answer to |x-1|+3x-2=5 ?

The answer to |x-1|+3x-2=5 is x=2

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|x-1|+3x-2=5

∣ x - 1 ∣ + 3 x - 2 = 5

x = 2

Solution steps

∣ x - 1 ∣ + 3 x - 2 = 5

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

No Solution or x = 2

x = 2

∣ 5 x + 2 ∣ + 7 = - 10

x^{4} - 2 x^{2} - 2 = 0

∣ q + 4 ∣ = 4

∣ 4 n - 2 ∣ = 2

2 - 3 x = - 10 + 3 ∣ 2 - 2 x ∣