What is the answer to -2| 1/4 x-3|+3=-17 ?

The answer to -2| 1/4 x-3|+3=-17 is x=-28\lor x=52

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-2| 1/4 x-3|+3=-17

- 2 \frac{1}{4} x - 3 + 3 = - 17

x = - 28 or x = 52

Solution steps

- 2 \frac{1}{4} x - 3 + 3 = - 17

Move

3

to the right side

- 2 \frac{1}{4} x - 3 = - 20

Divide both sides by

- 2

\frac{1}{4} x - 3 = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{1}{4} x - 3 = - 10 or \frac{1}{4} x - 3 = 10

\frac{1}{4} x - 3 = - 10 or \frac{1}{4} x - 3 = 10

x = - 28 or x = 52

∣ x - 9 ∣ < 5

b^{2} - 4 b - 32 = 0

2 (3 x - 4) = 4 (\frac{1}{2} x - 8)

12 r - 12

5 x = 15

What is the answer to -2| 1/4 x-3|+3=-17 ?
The answer to -2| 1/4 x-3|+3=-17 is x=-28\lor x=52
Solve for x: -2| 1/4 x-3|+3=-17
The solution is x=-28\lor x=52