What is the answer to |-5x+3|=1 ?

The answer to |-5x+3|=1 is x= 2/5 \lor x= 4/5

Solve for x: |-5x+3|=1

The solution is x= 2/5 \lor x= 4/5

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∣ - 5 x + 3 ∣ = 1

x = \frac{2}{5} or x = \frac{4}{5}

Decimal Notation

x = 0.4, x = 0.8

Solution steps

∣ - 5 x + 3 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 5 x + 3 = - 1 or - 5 x + 3 = 1

- 5 x + 3 = - 1 or - 5 x + 3 = 1

x = \frac{2}{5} or x = \frac{4}{5}

3 ∣ 2 x - 6 ∣ + 2 = 2

- 3 ∣ x - 5 ∣ + 2 = 6

∣ 8 + 3 n ∣ - 10 = - 8

4 ∣ - k - 3 ∣ - 8 = 10

∣ 9 n - 1 ∣ + 7 = 6