What is the answer to 2|x-3|=14 ?

The answer to 2|x-3|=14 is x=-4\lor x=10

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2|x-3|=14

2 ∣ x - 3 ∣ = 14

x = - 4 or x = 10

Solution steps

2 ∣ x - 3 ∣ = 14

Divide both sides by

2

∣ x - 3 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 3 = - 7 or x - 3 = 7

x - 3 = - 7 or x - 3 = 7

x = - 4 or x = 10

6 - ∣ 4 - 8 x ∣ = - 12

∣ 5 x + 9 ∣ - 6 = - 5

∣ 2 x + 5 ∣ + 3 x = 0

∣ 11 x + 2 ∣ = x - 1

\frac{2}{3} x - 6 = 12