What is the answer to 4|2x-1|-11=-6 ?

The answer to 4|2x-1|-11=-6 is x=-1/8 \lor x= 9/8

Solve for x: 4|2x-1|-11=-6

The solution is x=-1/8 \lor x= 9/8

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4 ∣ 2 x - 1 ∣ - 11 = - 6

x = - \frac{1}{8} or x = \frac{9}{8}

Decimal Notation

x = - 0.125, x = 1.125

Solution steps

4 ∣ 2 x - 1 ∣ - 11 = - 6

Move

11

to the right side

4 ∣ 2 x - 1 ∣ = 5

Divide both sides by

4

∣ 2 x - 1 ∣ = \frac{5}{4}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 1 = - \frac{5}{4} or 2 x - 1 = \frac{5}{4}

2 x - 1 = - \frac{5}{4} or 2 x - 1 = \frac{5}{4}

x = - \frac{1}{8} or x = \frac{9}{8}

- 4 ∣ 7 - a ∣ = - 36

∣ x + 3 ∣ = x - 5

∣ x - 6 ∣ = 11

∣ x - 6 ∣ = 10

∣ x - 6 ∣ = 12

What is the answer to 4|2x-1|-11=-6 ?
The answer to 4|2x-1|-11=-6 is x=-1/8 \lor x= 9/8
Solve for x: 4|2x-1|-11=-6
The solution is x=-1/8 \lor x= 9/8