What is the answer to -4|3x+1|+5=-15 ?

The answer to -4|3x+1|+5=-15 is x=-2\lor x= 4/3

Solve for x: -4|3x+1|+5=-15

The solution is x=-2\lor x= 4/3

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- 4 ∣ 3 x + 1 ∣ + 5 = - 15

x = - 2 or x = \frac{4}{3}

Decimal Notation

x = - 2, x = 1.33333 \dots

Solution steps

- 4 ∣ 3 x + 1 ∣ + 5 = - 15

Move

5

to the right side

- 4 ∣ 3 x + 1 ∣ = - 20

Divide both sides by

- 4

∣ 3 x + 1 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 1 = - 5 or 3 x + 1 = 5

3 x + 1 = - 5 or 3 x + 1 = 5

x = - 2 or x = \frac{4}{3}

1 + ∣ 3 x + 6 ∣ + 4 x = 0

∣ x - 2 ∣ + 3 = 7

∣ x - 3 ∣ = 2 x + 3

x^{2} + 2 x + 1 = 4

∣ x - 2 ∣ + 2 = 9

What is the answer to -4|3x+1|+5=-15 ?
The answer to -4|3x+1|+5=-15 is x=-2\lor x= 4/3
Solve for x: -4|3x+1|+5=-15
The solution is x=-2\lor x= 4/3