What is the answer to |x-2|=3x-9 ?

The answer to |x-2|=3x-9 is x= 7/2

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|x-2|=3x-9

∣ x - 2 ∣ = 3 x - 9

x = \frac{7}{2}

Decimal Notation

x = 3.5

Solution steps

∣ x - 2 ∣ = 3 x - 9

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

No Solution or x = \frac{7}{2}

x = \frac{7}{2}

∣ x - 2 ∣ = 3 x + 8

∣ 3 x - 2 ∣ - 8 = 1

- 3 ∣ 2 c + 10 ∣ = 0

∣ 2 x - 1 ∣ = 13

2 ∣ x - 4 ∣ + 1 = 7