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

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

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

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

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1 - ∣ 4 x - 3 ∣ = - 8

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

Decimal Notation

x = - 1.5, x = 3

Solution steps

1 - ∣ 4 x - 3 ∣ = - 8

Move

1

to the right side

- ∣ 4 x - 3 ∣ = - 9

Divide both sides by

- 1

∣ 4 x - 3 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 3 = - 9 or 4 x - 3 = 9

4 x - 3 = - 9 or 4 x - 3 = 9

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

∣ x - 13 ∣ = 2

\frac{b}{2} = 3

26 = ∣ x - 15 ∣

∣ 5 b ∣ = 35

3 = - 2 ∣ 14 s - 5 ∣ + 3

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