What is the answer to |5x+2|=5 ?

The answer to |5x+2|=5 is x=-7/5 \lor x= 3/5

Solve for x: |5x+2|=5

The solution is x=-7/5 \lor x= 3/5

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∣ 5 x + 2 ∣ = 5

x = - \frac{7}{5} or x = \frac{3}{5}

Decimal Notation

x = - 1.4, x = 0.6

Solution steps

∣ 5 x + 2 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x + 2 = - 5 or 5 x + 2 = 5

5 x + 2 = - 5 or 5 x + 2 = 5

x = - \frac{7}{5} or x = \frac{3}{5}

∣ a ∣ = - 2

∣ a ∣ = - 1

∣ 2 r - 10 ∣ + 3 = 5

∣ a ∣ - 16 = - 8

\frac{∣ x - 3 ∣}{3} = - 5