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

The answer to 5|x-2|-5=2 is x= 3/5 \lor x= 17/5

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

The solution is x= 3/5 \lor x= 17/5

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5 ∣ x - 2 ∣ - 5 = 2

x = \frac{3}{5} or x = \frac{17}{5}

Decimal Notation

x = 0.6, x = 3.4

Solution steps

5 ∣ x - 2 ∣ - 5 = 2

Move

5

to the right side

5 ∣ x - 2 ∣ = 7

Divide both sides by

5

∣ x - 2 ∣ = \frac{7}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - \frac{7}{5} or x - 2 = \frac{7}{5}

x - 2 = - \frac{7}{5} or x - 2 = \frac{7}{5}

x = \frac{3}{5} or x = \frac{17}{5}

∣ x ∣ - 4 = - 4

- 9 ∣ - x + 5 ∣ = 0

∣ 5 x - 10 ∣ + 2 = 2

∣ z - 1 ∣ = 3

7 ∣ 4 x - 13 ∣ = 35

What is the answer to 5|x-2|-5=2 ?
The answer to 5|x-2|-5=2 is x= 3/5 \lor x= 17/5
Solve for x: 5|x-2|-5=2
The solution is x= 3/5 \lor x= 17/5