What is the answer to 3|x-2|=18 ?

The answer to 3|x-2|=18 is x=-4\lor x=8

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3|x-2|=18

3 ∣ x - 2 ∣ = 18

x = - 4 or x = 8

Solution steps

3 ∣ x - 2 ∣ = 18

Divide both sides by

3

∣ x - 2 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - 6 or x - 2 = 6

x - 2 = - 6 or x - 2 = 6

x = - 4 or x = 8

4 x - 25 = 71

8 x^{2} - 7 x - 5 = 0

- 6 < 2 x + 3 < - 1

5 x^{2} + 34 x + 24

(m + a)^{2} - 2 (m + a) (a + b) + (a + b)^{2}