What is the answer to 2|3x+2|-1=7 ?

The answer to 2|3x+2|-1=7 is x=-2\lor x= 2/3

Solve for x: 2|3x+2|-1=7

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

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2 ∣ 3 x + 2 ∣ - 1 = 7

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

Decimal

x = - 2, x = 0.66666 \dots

Solution steps

2 ∣ 3 x + 2 ∣ - 1 = 7

Move

1

to the right side

2 ∣ 3 x + 2 ∣ = 8

Divide both sides by

2

∣ 3 x + 2 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 2 = - 4 or 3 x + 2 = 4

3 x + 2 = - 4 or 3 x + 2 = 4

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

0 = ∣ x ∣ - 2

∣ 2 s + 3 ∣ = 11

∣ b + 1 ∣ = 4

∣ 8 x + 4 ∣ + ∣ 6 x + 3 ∣ = 21

∣ 2 - 3 x ∣ = ∣ x ∣

What is the answer to 2|3x+2|-1=7 ?
The answer to 2|3x+2|-1=7 is x=-2\lor x= 2/3
Solve for x: 2|3x+2|-1=7
The solution is x=-2\lor x= 2/3