What is the answer to 10-4|4x+8|=-26 ?

The answer to 10-4|4x+8|=-26 is x=-17/4 \lor x= 1/4

Solve for x: 10-4|4x+8|=-26

The solution is x=-17/4 \lor x= 1/4

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10 - 4 ∣ 4 x + 8 ∣ = - 26

x = - \frac{17}{4} or x = \frac{1}{4}

Decimal Notation

x = - 4.25, x = 0.25

Solution steps

10 - 4 ∣ 4 x + 8 ∣ = - 26

Move

10

to the right side

- 4 ∣ 4 x + 8 ∣ = - 36

Divide both sides by

- 4

∣ 4 x + 8 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 8 = - 9 or 4 x + 8 = 9

4 x + 8 = - 9 or 4 x + 8 = 9

x = - \frac{17}{4} or x = \frac{1}{4}

- 3 ∣ x - 6 ∣ - 10 = - 31

4 = ∣ - 3 a + 4 ∣

∣ x - 3 ∣ + 9 = 30

2 = ∣ x ∣ - 1

60 = ∣ 6 y ∣

What is the answer to 10-4|4x+8|=-26 ?
The answer to 10-4|4x+8|=-26 is x=-17/4 \lor x= 1/4
Solve for x: 10-4|4x+8|=-26
The solution is x=-17/4 \lor x= 1/4