What is the answer to 2+|3x+8|=12 ?

The answer to 2+|3x+8|=12 is x=-6\lor x= 2/3

Solve for x: 2+|3x+8|=12

The solution is x=-6\lor x= 2/3

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2 + ∣ 3 x + 8 ∣ = 12

x = - 6 or x = \frac{2}{3}

Solution steps

2 + ∣ 3 x + 8 ∣ = 12

Move

2

to the right side

∣ 3 x + 8 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 8 = - 10 or 3 x + 8 = 10

3 x + 8 = - 10 or 3 x + 8 = 10

x = - 6 or x = \frac{2}{3}

∣ 3 x - 3 ∣ = 9

∣ 3 x - 3 ∣ = 8

∣ 3 x + 9 ∣ - 10 = - 4

- x^{2} - ∣ x ∣ + 2 = 0

∣ 2 x + 9 ∣ + 7 = 3

What is the answer to 2+|3x+8|=12 ?
The answer to 2+|3x+8|=12 is x=-6\lor x= 2/3
Solve for x: 2+|3x+8|=12
The solution is x=-6\lor x= 2/3