What is the answer to 8-2|x-4|=3 ?

The answer to 8-2|x-4|=3 is x= 3/2 \lor x= 13/2

Solve for x: 8-2|x-4|=3

The solution is x= 3/2 \lor x= 13/2

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8 - 2 ∣ x - 4 ∣ = 3

x = \frac{3}{2} or x = \frac{13}{2}

Decimal Notation

x = 1.5, x = 6.5

Solution steps

8 - 2 ∣ x - 4 ∣ = 3

Move

8

to the right side

- 2 ∣ x - 4 ∣ = - 5

Divide both sides by

- 2

∣ x - 4 ∣ = \frac{5}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - \frac{5}{2} or x - 4 = \frac{5}{2}

x - 4 = - \frac{5}{2} or x - 4 = \frac{5}{2}

x = \frac{3}{2} or x = \frac{13}{2}

x^{2} + 5 x - 5 = ∣ x + 1 ∣ + 3

- 7 + 10 ∣ 7 x + 9 ∣ = - 57

∣ 7 x + 4 ∣ - 10 = - 3

x^{2} - 10 x + 20 = 4

3 ∣ m ∣ = 15

What is the answer to 8-2|x-4|=3 ?
The answer to 8-2|x-4|=3 is x= 3/2 \lor x= 13/2
Solve for x: 8-2|x-4|=3
The solution is x= 3/2 \lor x= 13/2