What is the answer to 2|-6x+2|+1=21 ?

The answer to 2|-6x+2|+1=21 is x=-4/3 \lor x=2

Solve for x: 2|-6x+2|+1=21

The solution is x=-4/3 \lor x=2

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2 ∣ - 6 x + 2 ∣ + 1 = 21

x = - \frac{4}{3} or x = 2

Decimal

x = - 1.33333 \dots, x = 2

Solution steps

2 ∣ - 6 x + 2 ∣ + 1 = 21

Move

1

to the right side

2 ∣ - 6 x + 2 ∣ = 20

Divide both sides by

2

∣ - 6 x + 2 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 6 x + 2 = - 10 or - 6 x + 2 = 10

- 6 x + 2 = - 10 or - 6 x + 2 = 10

x = - \frac{4}{3} or x = 2

15 = x + ∣ x - 5 ∣

3 ∣ 2 x - 3 ∣ + 2 = 2

4 ∣ x ∣ - 11 = 25 - 2 ∣ x ∣

∣ 2 x - 7 ∣ = 4 x - 5

∣ 9 - 4 x ∣ = 7

What is the answer to 2|-6x+2|+1=21 ?
The answer to 2|-6x+2|+1=21 is x=-4/3 \lor x=2
Solve for x: 2|-6x+2|+1=21
The solution is x=-4/3 \lor x=2