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

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

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2|1-x|-4=2

2 ∣ 1 - x ∣ - 4 = 2

x = - 2 or x = 4

Solution steps

2 ∣ 1 - x ∣ - 4 = 2

Move

4

to the right side

2 ∣ 1 - x ∣ = 6

Divide both sides by

2

∣ 1 - x ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - x = - 3 or 1 - x = 3

1 - x = - 3 or 1 - x = 3

x = - 2 or x = 4

- 10 x - 10 = - 10 x + 10

9 z^{2} + 6 z + 1

6 x^{2} + 6 x + 4 = 0

x^{2} + 22 x + 120

\frac{1}{2} 72