What is the answer to 12-2|x-2|=5 ?

The answer to 12-2|x-2|=5 is x=-3/2 \lor x= 11/2

Solve for x: 12-2|x-2|=5

The solution is x=-3/2 \lor x= 11/2

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12 - 2 ∣ x - 2 ∣ = 5

x = - \frac{3}{2} or x = \frac{11}{2}

Decimal Notation

x = - 1.5, x = 5.5

Solution steps

12 - 2 ∣ x - 2 ∣ = 5

Move

12

to the right side

- 2 ∣ x - 2 ∣ = - 7

Divide both sides by

- 2

∣ x - 2 ∣ = \frac{7}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - \frac{7}{2} or x - 2 = \frac{7}{2}

x - 2 = - \frac{7}{2} or x - 2 = \frac{7}{2}

x = - \frac{3}{2} or x = \frac{11}{2}

13 ∣ x - 8 ∣ = 10

2 ∣ y + 2 ∣ - 8 = 0

- 3 ∣ 1 - 32 v ∣ = - 9

∣ 6 x - 10 ∣ + 10 = 48

∣ v ∣ - 11 = - 7

What is the answer to 12-2|x-2|=5 ?
The answer to 12-2|x-2|=5 is x=-3/2 \lor x= 11/2
Solve for x: 12-2|x-2|=5
The solution is x=-3/2 \lor x= 11/2