What is the answer to 1/2 |x|-6=4 ?

The answer to 1/2 |x|-6=4 is x=-20\lor x=20

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1/2 |x|-6=4

\frac{1}{2} ∣ x ∣ - 6 = 4

x = - 20 or x = 20

Solution steps

\frac{1}{2} ∣ x ∣ - 6 = 4

Move

6

to the right side

\frac{1}{2} ∣ x ∣ = 10

Multiply both sides by

2

∣ x ∣ = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 20 or x = 20

4 - 3 ∣ 5 x - 7 ∣ = - 2

∣ 7 x + 3 ∣ - 6 x + 4 = 0

∣ x - 6 ∣ = 0.03

∣ x - 6 ∣ = 0.04

- 8 ∣ y + 5 ∣ = - 4