What is the answer to 4|2x+7|=16 ?

The answer to 4|2x+7|=16 is x=-11/2 \lor x=-3/2

Solve for x: 4|2x+7|=16

The solution is x=-11/2 \lor x=-3/2

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4 ∣ 2 x + 7 ∣ = 16

x = - \frac{11}{2} or x = - \frac{3}{2}

Decimal Notation

x = - 5.5, x = - 1.5

Solution steps

4 ∣ 2 x + 7 ∣ = 16

Divide both sides by

4

∣ 2 x + 7 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 7 = - 4 or 2 x + 7 = 4

2 x + 7 = - 4 or 2 x + 7 = 4

x = - \frac{11}{2} or x = - \frac{3}{2}

∣ x ∣ = - x

5 ∣ 6 - 5 x ∣ = 15 x - 35

- 2 ∣ 5 x - 1 ∣ - 3 = - 11

2 ∣ 4 - n ∣ = - 3 n

∣ 3 x - 9 ∣ = x + 1

What is the answer to 4|2x+7|=16 ?
The answer to 4|2x+7|=16 is x=-11/2 \lor x=-3/2
Solve for x: 4|2x+7|=16
The solution is x=-11/2 \lor x=-3/2