What is the answer to |6x-5|-11=-8 ?

The answer to |6x-5|-11=-8 is x= 1/3 \lor x= 4/3

Solve for x: |6x-5|-11=-8

The solution is x= 1/3 \lor x= 4/3

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∣ 6 x - 5 ∣ - 11 = - 8

x = \frac{1}{3} or x = \frac{4}{3}

Decimal Notation

x = 0.33333 \dots, x = 1.33333 \dots

Solution steps

∣ 6 x - 5 ∣ - 11 = - 8

Move

11

to the right side

∣ 6 x - 5 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x - 5 = - 3 or 6 x - 5 = 3

6 x - 5 = - 3 or 6 x - 5 = 3

x = \frac{1}{3} or x = \frac{4}{3}

∣ x + 7 ∣ = - 1

∣ 6 x - 3 ∣ = 5

\frac{2}{3} x - 6 = 2

2 ∣ 8 t + 4 ∣ + 5 = 14

∣ x + 7 ∣ = 9

What is the answer to |6x-5|-11=-8 ?
The answer to |6x-5|-11=-8 is x= 1/3 \lor x= 4/3
Solve for x: |6x-5|-11=-8
The solution is x= 1/3 \lor x= 4/3