What is the answer to 1/2 |3x-9|=5 ?

The answer to 1/2 |3x-9|=5 is x=-1/3 \lor x= 19/3

Solve for x: 1/2 |3x-9|=5

The solution is x=-1/3 \lor x= 19/3

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\frac{1}{2} ∣ 3 x - 9 ∣ = 5

x = - \frac{1}{3} or x = \frac{19}{3}

Decimal Notation

x = - 0.33333 \dots, x = 6.33333 \dots

Solution steps

\frac{1}{2} ∣ 3 x - 9 ∣ = 5

Multiply both sides by

2

∣ 3 x - 9 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 9 = - 10 or 3 x - 9 = 10

3 x - 9 = - 10 or 3 x - 9 = 10

x = - \frac{1}{3} or x = \frac{19}{3}

∣ x + 7 ∣ = 8

∣ x + 7 ∣ = 4

∣ 2 x + 4 ∣ = 0

∣ 18 x + 15 ∣ = 9

3 \frac{x}{3} - 4 = 12

What is the answer to 1/2 |3x-9|=5 ?
The answer to 1/2 |3x-9|=5 is x=-1/3 \lor x= 19/3
Solve for x: 1/2 |3x-9|=5
The solution is x=-1/3 \lor x= 19/3