What is the answer to 5|x-2|-7=2 ?

The answer to 5|x-2|-7=2 is x= 1/5 \lor x= 19/5

Solve for x: 5|x-2|-7=2

The solution is x= 1/5 \lor x= 19/5

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5 ∣ x - 2 ∣ - 7 = 2

x = \frac{1}{5} or x = \frac{19}{5}

Decimal Notation

x = 0.2, x = 3.8

Solution steps

5 ∣ x - 2 ∣ - 7 = 2

Move

7

to the right side

5 ∣ x - 2 ∣ = 9

Divide both sides by

5

∣ x - 2 ∣ = \frac{9}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - \frac{9}{5} or x - 2 = \frac{9}{5}

x - 2 = - \frac{9}{5} or x - 2 = \frac{9}{5}

x = \frac{1}{5} or x = \frac{19}{5}

∣ x ∣ + 9 = 75

∣ 2 x + 7 ∣ - 4 x = 9

∣ - 4 x - 3 ∣ = 2

∣ p + 12 ∣ = 37

∣ 10 x ∣ + 10 = 20

What is the answer to 5|x-2|-7=2 ?
The answer to 5|x-2|-7=2 is x= 1/5 \lor x= 19/5
Solve for x: 5|x-2|-7=2
The solution is x= 1/5 \lor x= 19/5