What is the answer to 5-2|3x+2|=-9 ?

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

Solve for x: 5-2|3x+2|=-9

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

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5 - 2 ∣ 3 x + 2 ∣ = - 9

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

Decimal Notation

x = - 3, x = 1.66666 \dots

Solution steps

5 - 2 ∣ 3 x + 2 ∣ = - 9

Move

5

to the right side

- 2 ∣ 3 x + 2 ∣ = - 14

Divide both sides by

- 2

∣ 3 x + 2 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 2 = - 7 or 3 x + 2 = 7

3 x + 2 = - 7 or 3 x + 2 = 7

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

48 = ∣ 15 - 9 x ∣

12 = ∣ 3 + 3 x ∣

8 = ∣ 7 + 5 x ∣

4 = ∣ 3 x + 2 ∣

2 ∣ x + 1 ∣ - x = 3 x - 4

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