What is the answer to 8-3|5x-2|=-19 ?

The answer to 8-3|5x-2|=-19 is x=-7/5 \lor x= 11/5

Solve for x: 8-3|5x-2|=-19

The solution is x=-7/5 \lor x= 11/5

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8 - 3 ∣ 5 x - 2 ∣ = - 19

x = - \frac{7}{5} or x = \frac{11}{5}

Decimal Notation

x = - 1.4, x = 2.2

Solution steps

8 - 3 ∣ 5 x - 2 ∣ = - 19

Move

8

to the right side

- 3 ∣ 5 x - 2 ∣ = - 27

Divide both sides by

- 3

∣ 5 x - 2 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 2 = - 9 or 5 x - 2 = 9

5 x - 2 = - 9 or 5 x - 2 = 9

x = - \frac{7}{5} or x = \frac{11}{5}

∣ - 5 r ∣ = 10

∣ - f ∣ = 2

- 8 = ∣ - 7 k ∣ - 1

∣ w ∣ = - 10

∣ - 7 x ∣ = - 8

What is the answer to 8-3|5x-2|=-19 ?
The answer to 8-3|5x-2|=-19 is x=-7/5 \lor x= 11/5
Solve for x: 8-3|5x-2|=-19
The solution is x=-7/5 \lor x= 11/5