What is the answer to 1-|4x+5|=-2 ?

The answer to 1-|4x+5|=-2 is x=-2\lor x=-1/2

Solve for x: 1-|4x+5|=-2

The solution is x=-2\lor x=-1/2

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1 - ∣ 4 x + 5 ∣ = - 2

x = - 2 or x = - \frac{1}{2}

Solution steps

1 - ∣ 4 x + 5 ∣ = - 2

Move

1

to the right side

- ∣ 4 x + 5 ∣ = - 3

Divide both sides by

- 1

∣ 4 x + 5 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 5 = - 3 or 4 x + 5 = 3

4 x + 5 = - 3 or 4 x + 5 = 3

x = - 2 or x = - \frac{1}{2}

3 + 4 ∣ 1 - 2 x ∣ = 11

- ∣ 3 + x ∣ = c

∣ x - 6 ∣ - 5 = - 9

∣ 4 x - 2 ∣ = 8

∣ 4 x - 21 ∣ - 7 = 13

What is the answer to 1-|4x+5|=-2 ?
The answer to 1-|4x+5|=-2 is x=-2\lor x=-1/2
Solve for x: 1-|4x+5|=-2
The solution is x=-2\lor x=-1/2