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

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

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3|2x-2|=18

3 ∣ 2 x - 2 ∣ = 18

x = - 2 or x = 4

Solution steps

3 ∣ 2 x - 2 ∣ = 18

Divide both sides by

3

∣ 2 x - 2 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 2 or x = 4

(2 x - k)^{2} - 2 (2 x - k) (x + t) + (x + t)^{2}

x^{2} - 8 x + 12

x + (5 x + 2)^{2} = 25 (1 + x^{2})

\frac{n}{2} - 2 \frac{n}{3} + 5 = 10 + \frac{n}{4}

3 s^{2} + 3 = 51