What is the answer to 5|x-4|=18 ?

The answer to 5|x-4|=18 is x= 2/5 \lor x= 38/5

Solve for x: 5|x-4|=18

The solution is x= 2/5 \lor x= 38/5

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5 ∣ x - 4 ∣ = 18

x = \frac{2}{5} or x = \frac{38}{5}

Solution steps

5 ∣ x - 4 ∣ = 18

Divide both sides by

5

∣ x - 4 ∣ = \frac{18}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - \frac{18}{5} or x - 4 = \frac{18}{5}

x - 4 = - \frac{18}{5} or x - 4 = \frac{18}{5}

x = \frac{2}{5} or x = \frac{38}{5}

2 + ∣ 3 x + 8 ∣ = 12

∣ 3 x - 3 ∣ = 9

∣ 3 x - 3 ∣ = 8

∣ 3 x + 9 ∣ - 10 = - 4

- x^{2} - ∣ x ∣ + 2 = 0

What is the answer to 5|x-4|=18 ?
The answer to 5|x-4|=18 is x= 2/5 \lor x= 38/5
Solve for x: 5|x-4|=18
The solution is x= 2/5 \lor x= 38/5