What is the answer to 4|-5x-5|-6=54 ?

The answer to 4|-5x-5|-6=54 is x=-4\lor x=2

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4|-5x-5|-6=54

4 ∣ - 5 x - 5 ∣ - 6 = 54

x = - 4 or x = 2

Solution steps

4 ∣ - 5 x - 5 ∣ - 6 = 54

Move

6

to the right side

4 ∣ - 5 x - 5 ∣ = 60

Divide both sides by

4

∣ - 5 x - 5 ∣ = 15

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 5 x - 5 = - 15 or - 5 x - 5 = 15

- 5 x - 5 = - 15 or - 5 x - 5 = 15

x = - 4 or x = 2

∣ 6 u + 3 ∣ = 15

\frac{n}{9} = 5

\frac{n}{9} = 1

∣ 2 x - 3 ∣ - 4 = a x + b

∣ x + 1 ∣ + 7 = 5

What is the answer to 4|-5x-5|-6=54 ?
The answer to 4|-5x-5|-6=54 is x=-4\lor x=2
Solve for x: 4|-5x-5|-6=54
The solution is x=-4\lor x=2