What is the answer to | 2/3 x+2|-8=0 ?

The answer to | 2/3 x+2|-8=0 is x=-15\lor x=9

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| 2/3 x+2|-8=0

\frac{2}{3} x + 2 - 8 = 0

x = - 15 or x = 9

Solution steps

\frac{2}{3} x + 2 - 8 = 0

Move

8

to the right side

\frac{2}{3} x + 2 = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 15 or x = 9

∣ 3 (x + 1) + 6 ∣ = 15

∣ - 3 - 2 x ∣ = - x

\frac{1}{7} x + 2 - 6 = - 6

- 4 ∣ 5 x + 4 ∣ + 25 = 9

6 ∣ x - 3 ∣ = 42

What is the answer to | 2/3 x+2|-8=0 ?
The answer to | 2/3 x+2|-8=0 is x=-15\lor x=9
Solve for x: | 2/3 x+2|-8=0
The solution is x=-15\lor x=9