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

The answer to -|2x+1|+1=1 is x=-1/2

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-|2x+1|+1=1

- ∣ 2 x + 1 ∣ + 1 = 1

x = - \frac{1}{2}

Solution steps

- ∣ 2 x + 1 ∣ + 1 = 1

Subtract

1

from both sides

- ∣ 2 x + 1 ∣ + 1 - 1 = 1 - 1

Simplify

- ∣ 2 x + 1 ∣ = 0

Divide both sides by

- 1

∣ 2 x + 1 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

2 x + 1 = 0

2 x + 1 = 0 : x = - \frac{1}{2}

x = - \frac{1}{2}

∣ x - 7 ∣ = 12

- ∣ 4 - 8 x ∣ = 12

2 = m + \frac{2}{3}

∣ 11 - 3 x ∣ = 7

∣ 11 - 3 x ∣ = 5