What is the answer to 5|x-4|=8 ?

The answer to 5|x-4|=8 is x= 12/5 \lor x= 28/5

Solve for x: 5|x-4|=8

The solution is x= 12/5 \lor x= 28/5

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5 ∣ x - 4 ∣ = 8

x = \frac{12}{5} or x = \frac{28}{5}

Decimal Notation

x = 2.4, x = 5.6

Solution steps

5 ∣ x - 4 ∣ = 8

Divide both sides by

5

∣ x - 4 ∣ = \frac{8}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - \frac{8}{5} or x - 4 = \frac{8}{5}

x - 4 = - \frac{8}{5} or x - 4 = \frac{8}{5}

x = \frac{12}{5} or x = \frac{28}{5}

5 ∣ x - 4 ∣ = 6

∣ 2 x + 3 ∣ = 3 x + 2

3 ∣ 5 n - 1 ∣ + 4 = 2

∣ 8 x ∣ = 40

∣ 2 x - 2 ∣ = 6