What is the answer to 12-3|x-4|=1 ?

The answer to 12-3|x-4|=1 is x= 1/3 \lor x= 23/3

Solve for x: 12-3|x-4|=1

The solution is x= 1/3 \lor x= 23/3

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12 - 3 ∣ x - 4 ∣ = 1

x = \frac{1}{3} or x = \frac{23}{3}

Decimal Notation

x = 0.33333 \dots, x = 7.66666 \dots

Solution steps

12 - 3 ∣ x - 4 ∣ = 1

Move

12

to the right side

- 3 ∣ x - 4 ∣ = - 11

Divide both sides by

- 3

∣ x - 4 ∣ = \frac{11}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - \frac{11}{3} or x - 4 = \frac{11}{3}

x - 4 = - \frac{11}{3} or x - 4 = \frac{11}{3}

x = \frac{1}{3} or x = \frac{23}{3}

∣ m + 4 ∣ + 1 = 26

∣ 2 - x ∣ + 7 = 2 x

7 ∣ x - 6 ∣ = 22

x^{2} - 9 = 5

\frac{3 x}{2} = 3

What is the answer to 12-3|x-4|=1 ?
The answer to 12-3|x-4|=1 is x= 1/3 \lor x= 23/3
Solve for x: 12-3|x-4|=1
The solution is x= 1/3 \lor x= 23/3