What is the answer to -3|2x+5|-4=-16 ?

The answer to -3|2x+5|-4=-16 is x=-9/2 \lor x=-1/2

Solve for x: -3|2x+5|-4=-16

The solution is x=-9/2 \lor x=-1/2

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- 3 ∣ 2 x + 5 ∣ - 4 = - 16

x = - \frac{9}{2} or x = - \frac{1}{2}

Decimal Notation

x = - 4.5, x = - 0.5

Solution steps

- 3 ∣ 2 x + 5 ∣ - 4 = - 16

Move

4

to the right side

- 3 ∣ 2 x + 5 ∣ = - 12

Divide both sides by

- 3

∣ 2 x + 5 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 5 = - 4 or 2 x + 5 = 4

2 x + 5 = - 4 or 2 x + 5 = 4

x = - \frac{9}{2} or x = - \frac{1}{2}

∣ 2 x - 3 ∣ = x + 1

∣ - 14 y + 5 ∣ + 9 = 1

4 ∣ - 2 x + 6 ∣ = - 24

∣ 7 x + 2 ∣ = 42 x + 1

∣ - 4 x + 4 ∣ = 44

What is the answer to -3|2x+5|-4=-16 ?
The answer to -3|2x+5|-4=-16 is x=-9/2 \lor x=-1/2
Solve for x: -3|2x+5|-4=-16
The solution is x=-9/2 \lor x=-1/2