What is the answer to 5|x-2|-9=2 ?

The answer to 5|x-2|-9=2 is x=-1/5 \lor x= 21/5

Solve for x: 5|x-2|-9=2

The solution is x=-1/5 \lor x= 21/5

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5 ∣ x - 2 ∣ - 9 = 2

x = - \frac{1}{5} or x = \frac{21}{5}

Decimal Notation

x = - 0.2, x = 4.2

Solution steps

5 ∣ x - 2 ∣ - 9 = 2

Move

9

to the right side

5 ∣ x - 2 ∣ = 11

Divide both sides by

5

∣ x - 2 ∣ = \frac{11}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - \frac{11}{5} or x - 2 = \frac{11}{5}

x - 2 = - \frac{11}{5} or x - 2 = \frac{11}{5}

x = - \frac{1}{5} or x = \frac{21}{5}

∣ 5 n + 8 ∣ + 15 = 3

\frac{p + 4}{2} = 5

∣ - 3 m ∣ + 8 = 9

x, ∣ 10 x ∣ = 0

- 3 ∣ 4 w ∣ = 60

What is the answer to 5|x-2|-9=2 ?
The answer to 5|x-2|-9=2 is x=-1/5 \lor x= 21/5
Solve for x: 5|x-2|-9=2
The solution is x=-1/5 \lor x= 21/5