What is the answer to 5|x-2|=8 ?

The answer to 5|x-2|=8 is x= 2/5 \lor x= 18/5

Solve for x: 5|x-2|=8

The solution is x= 2/5 \lor x= 18/5

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5 ∣ x - 2 ∣ = 8

x = \frac{2}{5} or x = \frac{18}{5}

Decimal Notation

x = 0.4, x = 3.6

Solution steps

5 ∣ x - 2 ∣ = 8

Divide both sides by

5

∣ x - 2 ∣ = \frac{8}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - \frac{8}{5} or x - 2 = \frac{8}{5}

x - 2 = - \frac{8}{5} or x - 2 = \frac{8}{5}

x = \frac{2}{5} or x = \frac{18}{5}

5 ∣ x - 2 ∣ = 4

∣ w + 9 ∣ = 17

∣ 4 x - 1 ∣ + 6 = 3 x

2 = \frac{y}{3}

∣ 5 x - 4 ∣ = 6