What is the answer to 5|x-6|=14 ?

The answer to 5|x-6|=14 is x= 16/5 \lor x= 44/5

Solve for x: 5|x-6|=14

The solution is x= 16/5 \lor x= 44/5

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5 ∣ x - 6 ∣ = 14

x = \frac{16}{5} or x = \frac{44}{5}

Decimal Notation

x = 3.2, x = 8.8

Solution steps

5 ∣ x - 6 ∣ = 14

Divide both sides by

5

∣ x - 6 ∣ = \frac{14}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - \frac{14}{5} or x - 6 = \frac{14}{5}

x - 6 = - \frac{14}{5} or x - 6 = \frac{14}{5}

x = \frac{16}{5} or x = \frac{44}{5}

x, ∣ x + y ∣ = 7

∣ - 2 y + 5 ∣ + 8 = 4

x, ∣ x + y ∣ = 2

∣ 5 u + 20 ∣ = 0

∣ 7 q ∣ = 0

What is the answer to 5|x-6|=14 ?
The answer to 5|x-6|=14 is x= 16/5 \lor x= 44/5
Solve for x: 5|x-6|=14
The solution is x= 16/5 \lor x= 44/5