What is the answer to 2-2|5x-2|=-18 ?

The answer to 2-2|5x-2|=-18 is x=-8/5 \lor x= 12/5

Solve for x: 2-2|5x-2|=-18

The solution is x=-8/5 \lor x= 12/5

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2 - 2 ∣ 5 x - 2 ∣ = - 18

x = - \frac{8}{5} or x = \frac{12}{5}

Decimal Notation

x = - 1.6, x = 2.4

Solution steps

2 - 2 ∣ 5 x - 2 ∣ = - 18

Move

2

to the right side

- 2 ∣ 5 x - 2 ∣ = - 20

Divide both sides by

- 2

∣ 5 x - 2 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 2 = - 10 or 5 x - 2 = 10

5 x - 2 = - 10 or 5 x - 2 = 10

x = - \frac{8}{5} or x = \frac{12}{5}

∣ 5 p + 3 ∣ - 4 = 2 p

∣ 4 x + 2 ∣ = 18

∣ - 6 x ∣ = 24

∣ 5 x - 9 ∣ = 4 x

- 10 + ∣ - 6 - x ∣ = 1

What is the answer to 2-2|5x-2|=-18 ?
The answer to 2-2|5x-2|=-18 is x=-8/5 \lor x= 12/5
Solve for x: 2-2|5x-2|=-18
The solution is x=-8/5 \lor x= 12/5