What is the answer to 1/3 |3x-6|-2=5 ?

The answer to 1/3 |3x-6|-2=5 is x=-5\lor x=9

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1/3 |3x-6|-2=5

\frac{1}{3} ∣ 3 x - 6 ∣ - 2 = 5

x = - 5 or x = 9

Solution steps

\frac{1}{3} ∣ 3 x - 6 ∣ - 2 = 5

Move

2

to the right side

\frac{1}{3} ∣ 3 x - 6 ∣ = 7

Multiply both sides by

3

∣ 3 x - 6 ∣ = 21

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 6 = - 21 or 3 x - 6 = 21

3 x - 6 = - 21 or 3 x - 6 = 21

x = - 5 or x = 9

\frac{2}{3} ∣ 4 (3 x + 1) - 1 ∣ - 5 = 3

\frac{4}{3} ∣ 3 x - 6 ∣ = 16

∣ x + 12 ∣ = 3

∣ q + 1 ∣ = 4

∣ 2 x - 1 ∣ = ∣ 3 x - 4 ∣

What is the answer to 1/3 |3x-6|-2=5 ?
The answer to 1/3 |3x-6|-2=5 is x=-5\lor x=9
Solve for x: 1/3 |3x-6|-2=5
The solution is x=-5\lor x=9