What is the answer to -2-6|7x+4|=-20 ?

The answer to -2-6|7x+4|=-20 is x=-1\lor x=-1/7

Solve for x: -2-6|7x+4|=-20

The solution is x=-1\lor x=-1/7

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- 2 - 6 ∣ 7 x + 4 ∣ = - 20

x = - 1 or x = - \frac{1}{7}

Decimal Notation

x = - 1, x = - 0.14285 \dots

Solution steps

- 2 - 6 ∣ 7 x + 4 ∣ = - 20

Move

2

to the right side

- 6 ∣ 7 x + 4 ∣ = - 18

Divide both sides by

- 6

∣ 7 x + 4 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x + 4 = - 3 or 7 x + 4 = 3

7 x + 4 = - 3 or 7 x + 4 = 3

x = - 1 or x = - \frac{1}{7}

∣ 17 - 3 b ∣ = 5

4 ∣ 3 x - 5 ∣ = 28

∣ 3 x + 12 ∣ = 9

4 ∣ - 3 n + 9 ∣ - 2 = 10

∣ z + 4 ∣ = 1

What is the answer to -2-6|7x+4|=-20 ?
The answer to -2-6|7x+4|=-20 is x=-1\lor x=-1/7
Solve for x: -2-6|7x+4|=-20
The solution is x=-1\lor x=-1/7