What is the answer to 5|x-2|=6 ?

The answer to 5|x-2|=6 is x= 4/5 \lor x= 16/5

Solve for x: 5|x-2|=6

The solution is x= 4/5 \lor x= 16/5

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5 ∣ x - 2 ∣ = 6

x = \frac{4}{5} or x = \frac{16}{5}

Solution steps

5 ∣ x - 2 ∣ = 6

Divide both sides by

5

∣ x - 2 ∣ = \frac{6}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - \frac{6}{5} or x - 2 = \frac{6}{5}

x - 2 = - \frac{6}{5} or x - 2 = \frac{6}{5}

x = \frac{4}{5} or x = \frac{16}{5}

- 8 \frac{n}{4} = - 12

∣ x - 12 ∣ - 3 = 11

∣ 5 x + 2 ∣ = 12

- ∣ 1 - 5 x ∣ + 3 = - 6

∣ 5 v - 4 ∣ = 7