What is the answer to -|2x+7|-1=-3 ?

The answer to -|2x+7|-1=-3 is x=-9/2 \lor x=-5/2

Solve for x: -|2x+7|-1=-3

The solution is x=-9/2 \lor x=-5/2

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- ∣ 2 x + 7 ∣ - 1 = - 3

x = - \frac{9}{2} or x = - \frac{5}{2}

Solution steps

- ∣ 2 x + 7 ∣ - 1 = - 3

Move

1

to the right side

- ∣ 2 x + 7 ∣ = - 2

Divide both sides by

- 1

∣ 2 x + 7 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 7 = - 2 or 2 x + 7 = 2

2 x + 7 = - 2 or 2 x + 7 = 2

x = - \frac{9}{2} or x = - \frac{5}{2}

∣ 2 x + 9 ∣ - 5 = - 5

- 3 ∣ 3 x - 2 ∣ - 12 = - 6

5 n + 24 = ∣ 8 - 3 n ∣

3 ∣ x + 1 ∣ - 4 = 5

- ∣ b - 4 ∣ + 8 = 10

What is the answer to -|2x+7|-1=-3 ?
The answer to -|2x+7|-1=-3 is x=-9/2 \lor x=-5/2
Solve for x: -|2x+7|-1=-3
The solution is x=-9/2 \lor x=-5/2