What is the answer to 6=|x|-2 ?

The answer to 6=|x|-2 is x=-8\lor x=8

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6=|x|-2

6 = ∣ x ∣ - 2

x = - 8 or x = 8

Solution steps

6 = ∣ x ∣ - 2

Switch sides

∣ x ∣ - 2 = 6

Move

2

to the right side

∣ x ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 8 or x = 8

∣ u - 5 ∣ = - \frac{1}{2}

∣ 3 x - 2 ∣ + 13 = - 3

x + 10 = ∣ 8 x ∣ + 15

\frac{v}{3} = 2

∣ 2 \cdot x + 3 ∣ = x + 2