What is the answer to 5|x-6|=18 ?

The answer to 5|x-6|=18 is x= 12/5 \lor x= 48/5

Solve for x: 5|x-6|=18

The solution is x= 12/5 \lor x= 48/5

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5 ∣ x - 6 ∣ = 18

x = \frac{12}{5} or x = \frac{48}{5}

Decimal Notation

x = 2.4, x = 9.6

Solution steps

5 ∣ x - 6 ∣ = 18

Divide both sides by

5

∣ x - 6 ∣ = \frac{18}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - \frac{18}{5} or x - 6 = \frac{18}{5}

x - 6 = - \frac{18}{5} or x - 6 = \frac{18}{5}

x = \frac{12}{5} or x = \frac{48}{5}

5 ∣ x - 6 ∣ = 22

5 ∣ x - 6 ∣ = 28

5 ∣ x - 6 ∣ = 26

∣ 5 x - 3 ∣ = 3 x + 5

∣ - 6 + n ∣ = 3

What is the answer to 5|x-6|=18 ?
The answer to 5|x-6|=18 is x= 12/5 \lor x= 48/5
Solve for x: 5|x-6|=18
The solution is x= 12/5 \lor x= 48/5