What is the answer to 5|x-2|-11=2 ?

The answer to 5|x-2|-11=2 is x=-3/5 \lor x= 23/5

Solve for x: 5|x-2|-11=2

The solution is x=-3/5 \lor x= 23/5

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5 ∣ x - 2 ∣ - 11 = 2

x = - \frac{3}{5} or x = \frac{23}{5}

Decimal Notation

x = - 0.6, x = 4.6

Solution steps

5 ∣ x - 2 ∣ - 11 = 2

Move

11

to the right side

5 ∣ x - 2 ∣ = 13

Divide both sides by

5

∣ x - 2 ∣ = \frac{13}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - \frac{13}{5} or x - 2 = \frac{13}{5}

x - 2 = - \frac{13}{5} or x - 2 = \frac{13}{5}

x = - \frac{3}{5} or x = \frac{23}{5}

∣ 3 x - 16 ∣ = 5 x - 6

∣ 2 - 3 t ∣ + 1 = 12

2 ∣ x - 10 ∣ = 14

∣ y - 4 ∣ + 5 = 15

- \frac{∣ p ∣}{5} + 8 = 3

What is the answer to 5|x-2|-11=2 ?
The answer to 5|x-2|-11=2 is x=-3/5 \lor x= 23/5
Solve for x: 5|x-2|-11=2
The solution is x=-3/5 \lor x= 23/5