What is the answer to -2|5+3x|+1=-5 ?

The answer to -2|5+3x|+1=-5 is x=-8/3 \lor x=-2/3

Solve for x: -2|5+3x|+1=-5

The solution is x=-8/3 \lor x=-2/3

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- 2 ∣ 5 + 3 x ∣ + 1 = - 5

x = - \frac{8}{3} or x = - \frac{2}{3}

Decimal Notation

x = - 2.66666 \dots, x = - 0.66666 \dots

Solution steps

- 2 ∣ 5 + 3 x ∣ + 1 = - 5

Move

1

to the right side

- 2 ∣ 5 + 3 x ∣ = - 6

Divide both sides by

- 2

∣ 5 + 3 x ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{8}{3} or x = - \frac{2}{3}

∣ 3 x + 1 ∣ = 19

∣ 5 y + 15 ∣ = 15

3 ∣ x + 4 ∣ - 15 = 0

- ∣ c ∣ = 0

10 ∣ x - 4 ∣ = 120

What is the answer to -2|5+3x|+1=-5 ?
The answer to -2|5+3x|+1=-5 is x=-8/3 \lor x=-2/3
Solve for x: -2|5+3x|+1=-5
The solution is x=-8/3 \lor x=-2/3