What is the answer to -3|5x+1|+4=4 ?

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

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-3|5x+1|+4=4

- 3 ∣ 5 x + 1 ∣ + 4 = 4

x = - \frac{1}{5}

Solution steps

- 3 ∣ 5 x + 1 ∣ + 4 = 4

Subtract

4

from both sides

- 3 ∣ 5 x + 1 ∣ + 4 - 4 = 4 - 4

Simplify

- 3 ∣ 5 x + 1 ∣ = 0

Divide both sides by

- 3

∣ 5 x + 1 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

5 x + 1 = 0

5 x + 1 = 0 : x = - \frac{1}{5}

x = - \frac{1}{5}

∣ u ∣ = 25

∣ u ∣ = 16

- 3 + 10 ∣ n - 10 ∣ = 7

∣ 4 x - 2 ∣ = x - 3

∣ d ∣ - 3 = 3