What is the answer to 5|x-4|=12 ?

The answer to 5|x-4|=12 is x= 8/5 \lor x= 32/5

Solve for x: 5|x-4|=12

The solution is x= 8/5 \lor x= 32/5

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5 ∣ x - 4 ∣ = 12

x = \frac{8}{5} or x = \frac{32}{5}

Decimal Notation

x = 1.6, x = 6.4

Solution steps

5 ∣ x - 4 ∣ = 12

Divide both sides by

5

∣ x - 4 ∣ = \frac{12}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - \frac{12}{5} or x - 4 = \frac{12}{5}

x - 4 = - \frac{12}{5} or x - 4 = \frac{12}{5}

x = \frac{8}{5} or x = \frac{32}{5}

- ∣ x - 2 ∣ = 0

5 ∣ 6 x + 7 ∣ + 4 = 29

∣ - 3 x + 6 ∣ - 5 = 13

∣ 6 - 5 x ∣ = 3 x - 7

7 + ∣ x - 8 ∣ = - 2 x + 4

What is the answer to 5|x-4|=12 ?
The answer to 5|x-4|=12 is x= 8/5 \lor x= 32/5
Solve for x: 5|x-4|=12
The solution is x= 8/5 \lor x= 32/5