What is the answer to 5|6x-5|-8=12 ?

The answer to 5|6x-5|-8=12 is x= 1/6 \lor x= 3/2

Solve for x: 5|6x-5|-8=12

The solution is x= 1/6 \lor x= 3/2

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5 ∣ 6 x - 5 ∣ - 8 = 12

x = \frac{1}{6} or x = \frac{3}{2}

Solution steps

5 ∣ 6 x - 5 ∣ - 8 = 12

Move

8

to the right side

5 ∣ 6 x - 5 ∣ = 20

Divide both sides by

5

∣ 6 x - 5 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x - 5 = - 4 or 6 x - 5 = 4

6 x - 5 = - 4 or 6 x - 5 = 4

x = \frac{1}{6} or x = \frac{3}{2}

3 ∣ x + 7 ∣ = 24

- 4 ∣ 8 - 5 n ∣ = 12

3 ∣ - d ∣ = 9

∣ 3 n - 5 ∣ - 8 = 12

2 ∣ 3 x - 7 ∣ + 8 = 18

What is the answer to 5|6x-5|-8=12 ?
The answer to 5|6x-5|-8=12 is x= 1/6 \lor x= 3/2
Solve for x: 5|6x-5|-8=12
The solution is x= 1/6 \lor x= 3/2