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

The answer to 1-2|3x-1|=-4 is x=-1/2 \lor x= 7/6

Solve for x: 1-2|3x-1|=-4

The solution is x=-1/2 \lor x= 7/6

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1 - 2 ∣ 3 x - 1 ∣ = - 4

x = - \frac{1}{2} or x = \frac{7}{6}

Decimal

x = - 0.5, x = 1.16666 \dots

Solution steps

1 - 2 ∣ 3 x - 1 ∣ = - 4

Move

1

to the right side

- 2 ∣ 3 x - 1 ∣ = - 5

Divide both sides by

- 2

∣ 3 x - 1 ∣ = \frac{5}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 1 = - \frac{5}{2} or 3 x - 1 = \frac{5}{2}

3 x - 1 = - \frac{5}{2} or 3 x - 1 = \frac{5}{2}

x = - \frac{1}{2} or x = \frac{7}{6}

∣ x + 2 ∣ = 3 ∣

∣ 8 x + 6 ∣ = 62

∣ 7 x - 4 ∣ - 2 = 0

∣ z - 4 ∣ = ∣ z + 9 ∣

4 ∣ 2 y - 3 ∣ - 1 = 11

What is the answer to 1-2|3x-1|=-4 ?
The answer to 1-2|3x-1|=-4 is x=-1/2 \lor x= 7/6
Solve for x: 1-2|3x-1|=-4
The solution is x=-1/2 \lor x= 7/6