What is the answer to 5|x-6|=8 ?

The answer to 5|x-6|=8 is x= 22/5 \lor x= 38/5

Solve for x: 5|x-6|=8

The solution is x= 22/5 \lor x= 38/5

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5 ∣ x - 6 ∣ = 8

x = \frac{22}{5} or x = \frac{38}{5}

Decimal Notation

x = 4.4, x = 7.6

Solution steps

5 ∣ x - 6 ∣ = 8

Divide both sides by

5

∣ x - 6 ∣ = \frac{8}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - \frac{8}{5} or x - 6 = \frac{8}{5}

x - 6 = - \frac{8}{5} or x - 6 = \frac{8}{5}

x = \frac{22}{5} or x = \frac{38}{5}

x + 5 ∣ x + 8 ∣ = 4

12 = 7 ∣ p ∣ + 3

∣ 12 x ∣ = 60

∣ 2 - 3 y ∣ = 13

∣ 3 x + 5 ∣ = 2 x + 3