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

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

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

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

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5 - ∣ 5 x ∣ = 3

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

Decimal Notation

x = - 0.4, x = 0.4

Solution steps

5 - ∣ 5 x ∣ = 3

Move

5

to the right side

- ∣ 5 x ∣ = - 2

Divide both sides by

- 1

∣ 5 x ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x = - 2 or 5 x = 2

5 x = - 2 or 5 x = 2

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

∣ y + 4 ∣ - 3 = 4

∣ x + 7 ∣ = 17

∣ x + 7 ∣ = 16

- 2 = ∣ 2 w - 4 ∣ - 9

∣ 2 (1 + x) - 3 ∣ = (0.4 x - 3)