What is the answer to -|3x+4|+6=-5 ?

The answer to -|3x+4|+6=-5 is x=-5\lor x= 7/3

Solve for x: -|3x+4|+6=-5

The solution is x=-5\lor x= 7/3

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- ∣ 3 x + 4 ∣ + 6 = - 5

x = - 5 or x = \frac{7}{3}

Decimal Notation

x = - 5, x = 2.33333 \dots

Solution steps

- ∣ 3 x + 4 ∣ + 6 = - 5

Move

6

to the right side

- ∣ 3 x + 4 ∣ = - 11

Divide both sides by

- 1

∣ 3 x + 4 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 4 = - 11 or 3 x + 4 = 11

3 x + 4 = - 11 or 3 x + 4 = 11

x = - 5 or x = \frac{7}{3}

2 - 4 ∣ 7 + 5 x ∣ = - 26

2 - ∣ x + 10 ∣ = 0

∣ 4 y - 10 ∣ = 20

∣ 2 x - 7 ∣ + 8 = 3 x

∣ 2 x - 2 ∣ + 3 = 5

What is the answer to -|3x+4|+6=-5 ?
The answer to -|3x+4|+6=-5 is x=-5\lor x= 7/3
Solve for x: -|3x+4|+6=-5
The solution is x=-5\lor x= 7/3