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

The answer to |x-2|=3x-4 is x= 3/2

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|x-2|=3x-4

∣ x - 2 ∣ = 3 x - 4

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

∣ x - 2 ∣ = 3 x - 4

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

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

x = \frac{3}{2}

∣ - 3 n ∣ = 0

7 - \frac{5}{2} x = 2

2 ∣ 4 - 3 x ∣ - 6 = - 2

3 ∣ x + 2 ∣ - 7 = 14

1 + 3 ∣ 2 x + 1 ∣ = 1616