What is the answer to |(x+2)/5 |= 1/5 ?

The answer to |(x+2)/5 |= 1/5 is x=-3\lor x=-1

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|(x+2)/5 |= 1/5

\frac{x + 2}{5} = \frac{1}{5}

x = - 3 or x = - 1

Solution steps

\frac{x + 2}{5} = \frac{1}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{x + 2}{5} = - \frac{1}{5} or \frac{x + 2}{5} = \frac{1}{5}

\frac{x + 2}{5} = - \frac{1}{5} or \frac{x + 2}{5} = \frac{1}{5}

x = - 3 or x = - 1

∣ 2 x - 3 ∣ = 4 x - 15

11 = x + ∣ 2 x - 1 ∣

5 x - 31 = ∣ x - 3 ∣

∣ x + 2 ∣ = \frac{4}{3}

6 - ∣ x - 4 ∣ = 3

What is the answer to |(x+2)/5 |= 1/5 ?
The answer to |(x+2)/5 |= 1/5 is x=-3\lor x=-1
Solve for x: |(x+2)/5 |= 1/5
The solution is x=-3\lor x=-1