What is the answer to 3|9x-3|=6 ?

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

Solve for x: 3|9x-3|=6

The solution is x= 1/9 \lor x= 5/9

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3 ∣ 9 x - 3 ∣ = 6

x = \frac{1}{9} or x = \frac{5}{9}

Decimal

x = 0.11111 \dots, x = 0.55555 \dots

Solution steps

3 ∣ 9 x - 3 ∣ = 6

Divide both sides by

3

∣ 9 x - 3 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

9 x - 3 = - 2 or 9 x - 3 = 2

9 x - 3 = - 2 or 9 x - 3 = 2

x = \frac{1}{9} or x = \frac{5}{9}

5 ∣ 3 x - 7 ∣ = 15

15 = ∣ d ∣ - 3

∣ 5 x + 3 ∣ + 2 x - 7 = 21

5 ∣ 3 x - 7 ∣ = 10

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