What is the answer to 5|x-6|=4 ?

The answer to 5|x-6|=4 is x= 26/5 \lor x= 34/5

Solve for x: 5|x-6|=4

The solution is x= 26/5 \lor x= 34/5

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5 ∣ x - 6 ∣ = 4

x = \frac{26}{5} or x = \frac{34}{5}

Decimal Notation

x = 5.2, x = 6.8

Solution steps

5 ∣ x - 6 ∣ = 4

Divide both sides by

5

∣ x - 6 ∣ = \frac{4}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - \frac{4}{5} or x - 6 = \frac{4}{5}

x - 6 = - \frac{4}{5} or x - 6 = \frac{4}{5}

x = \frac{26}{5} or x = \frac{34}{5}

6 + 8 ∣ 7 x + 14 ∣ = 174

∣ 2 x - 6 ∣ = 13

∣ 6 u - 3 ∣ = 15

∣ z - 2 ∣ = re (z)

71 = ∣ f ∣ + 3