What is the answer to 6-2|4x+1|=-56 ?

The answer to 6-2|4x+1|=-56 is x=-8\lor x= 15/2

Solve for x: 6-2|4x+1|=-56

The solution is x=-8\lor x= 15/2

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6 - 2 ∣ 4 x + 1 ∣ = - 56

x = - 8 or x = \frac{15}{2}

Decimal Notation

x = - 8, x = 7.5

Solution steps

6 - 2 ∣ 4 x + 1 ∣ = - 56

Move

6

to the right side

- 2 ∣ 4 x + 1 ∣ = - 62

Divide both sides by

- 2

∣ 4 x + 1 ∣ = 31

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 1 = - 31 or 4 x + 1 = 31

4 x + 1 = - 31 or 4 x + 1 = 31

x = - 8 or x = \frac{15}{2}

- 7 \cdot ∣ z + 11 ∣ = - 105

∣ 2 x + 6 ∣ = 7

∣ 2 x + 6 ∣ = 6

∣ 2 x + 6 ∣ = 5

3 ∣ x - 1 ∣ - 9 = 0

What is the answer to 6-2|4x+1|=-56 ?
The answer to 6-2|4x+1|=-56 is x=-8\lor x= 15/2
Solve for x: 6-2|4x+1|=-56
The solution is x=-8\lor x= 15/2