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

The answer to |4x-1|-6=6 is x=-11/4 \lor x= 13/4

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

The solution is x=-11/4 \lor x= 13/4

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∣ 4 x - 1 ∣ - 6 = 6

x = - \frac{11}{4} or x = \frac{13}{4}

Decimal Notation

x = - 2.75, x = 3.25

Solution steps

∣ 4 x - 1 ∣ - 6 = 6

Move

6

to the right side

∣ 4 x - 1 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 1 = - 12 or 4 x - 1 = 12

4 x - 1 = - 12 or 4 x - 1 = 12

x = - \frac{11}{4} or x = \frac{13}{4}

x - 1 \leq 0

6 x + 12 = 0

\frac{1}{2 1 + 3}

- 5 y + 8 = - 7

x + 7 > 9

What is the answer to |4x-1|-6=6 ?
The answer to |4x-1|-6=6 is x=-11/4 \lor x= 13/4
Solve for x: |4x-1|-6=6
The solution is x=-11/4 \lor x= 13/4