What is the answer to 3-|1-4x|=-8 ?

The answer to 3-|1-4x|=-8 is x=-5/2 \lor x=3

Solve for x: 3-|1-4x|=-8

The solution is x=-5/2 \lor x=3

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3 - ∣ 1 - 4 x ∣ = - 8

x = - \frac{5}{2} or x = 3

Decimal Notation

x = - 2.5, x = 3

Solution steps

3 - ∣ 1 - 4 x ∣ = - 8

Move

3

to the right side

- ∣ 1 - 4 x ∣ = - 11

Divide both sides by

- 1

∣ 1 - 4 x ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - 4 x = - 11 or 1 - 4 x = 11

1 - 4 x = - 11 or 1 - 4 x = 11

x = - \frac{5}{2} or x = 3

∣ 2 x + 3 ∣ = 6 x + 4

∣ 3 - 5 t ∣ + 2 = 15

∣ 8 - x ∣ = 6

∣ 3 - 5 t ∣ + 2 = 20

0 = ∣ c + 6 ∣

What is the answer to 3-|1-4x|=-8 ?
The answer to 3-|1-4x|=-8 is x=-5/2 \lor x=3
Solve for x: 3-|1-4x|=-8
The solution is x=-5/2 \lor x=3