What is the answer to 2-|1+x|=0 ?

The answer to 2-|1+x|=0 is x=-3\lor x=1

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2-|1+x|=0

2 - ∣ 1 + x ∣ = 0

x = - 3 or x = 1

Solution steps

2 - ∣ 1 + x ∣ = 0

Move

2

to the right side

- ∣ 1 + x ∣ = - 2

Divide both sides by

- 1

∣ 1 + x ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 + x = - 2 or 1 + x = 2

1 + x = - 2 or 1 + x = 2

x = - 3 or x = 1

∣ 3 x - 6 ∣ - 9 = - 3

- 5 ∣ 3 + 3 x ∣ + 6 = - 9

∣ 2 x + 5 ∣ = 9

10 = ∣ 1 - 3 x ∣

\frac{a}{3} = 4