What is the answer to -4|4x+1|+8=-12 ?

The answer to -4|4x+1|+8=-12 is x=-3/2 \lor x=1

Solve for x: -4|4x+1|+8=-12

The solution is x=-3/2 \lor x=1

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- 4 ∣ 4 x + 1 ∣ + 8 = - 12

x = - \frac{3}{2} or x = 1

Decimal Notation

x = - 1.5, x = 1

Solution steps

- 4 ∣ 4 x + 1 ∣ + 8 = - 12

Move

8

to the right side

- 4 ∣ 4 x + 1 ∣ = - 20

Divide both sides by

- 4

∣ 4 x + 1 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 1 = - 5 or 4 x + 1 = 5

4 x + 1 = - 5 or 4 x + 1 = 5

x = - \frac{3}{2} or x = 1

4 = ∣ - b + 10 ∣

3 ∣ x - 4 ∣ = 8

∣ 5 x - 6 ∣ = 1

∣ 5 x + 8 ∣ = 3 x

∣ x + 3 ∣ - 3 = 2 x

What is the answer to -4|4x+1|+8=-12 ?
The answer to -4|4x+1|+8=-12 is x=-3/2 \lor x=1
Solve for x: -4|4x+1|+8=-12
The solution is x=-3/2 \lor x=1