What is the answer to 1/2 |x|-1=6 ?

The answer to 1/2 |x|-1=6 is x=-14\lor x=14

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1/2 |x|-1=6

\frac{1}{2} ∣ x ∣ - 1 = 6

x = - 14 or x = 14

Solution steps

\frac{1}{2} ∣ x ∣ - 1 = 6

Move

1

to the right side

\frac{1}{2} ∣ x ∣ = 7

Multiply both sides by

2

∣ x ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 14 or x = 14

∣ x + 3 ∣ - 1 = 15

\frac{7}{2} ∣ x + 3 ∣ = 7

x + ∣ x - 5 ∣ = 8

∣ 2 x + 5 ∣ - 5 = 9

∣ 3 x + 2 ∣ = x - 4