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

The answer to 9-2|x-3|=2 is x=-1/2 \lor x= 13/2

Solve for x: 9-2|x-3|=2

The solution is x=-1/2 \lor x= 13/2

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9 - 2 ∣ x - 3 ∣ = 2

x = - \frac{1}{2} or x = \frac{13}{2}

Decimal Notation

x = - 0.5, x = 6.5

Solution steps

9 - 2 ∣ x - 3 ∣ = 2

Move

9

to the right side

- 2 ∣ x - 3 ∣ = - 7

Divide both sides by

- 2

∣ x - 3 ∣ = \frac{7}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 3 = - \frac{7}{2} or x - 3 = \frac{7}{2}

x - 3 = - \frac{7}{2} or x - 3 = \frac{7}{2}

x = - \frac{1}{2} or x = \frac{13}{2}

\frac{c}{11} = 6

∣ 3 x ∣ - 4 = 2 x - 4

2 ∣ 4 - x ∣ = - 3 x

∣ 9 x + 7 ∣ = 8

7 - 3 ∣ x + 6 ∣ = 7

What is the answer to 9-2|x-3|=2 ?
The answer to 9-2|x-3|=2 is x=-1/2 \lor x= 13/2
Solve for x: 9-2|x-3|=2
The solution is x=-1/2 \lor x= 13/2