What is the answer to 2|3x-1|+5=33 ?

The answer to 2|3x-1|+5=33 is x=-13/3 \lor x=5

Solve for x: 2|3x-1|+5=33

The solution is x=-13/3 \lor x=5

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2 ∣ 3 x - 1 ∣ + 5 = 33

x = - \frac{13}{3} or x = 5

Decimal Notation

x = - 4.33333 \dots, x = 5

Solution steps

2 ∣ 3 x - 1 ∣ + 5 = 33

Move

5

to the right side

2 ∣ 3 x - 1 ∣ = 28

Divide both sides by

2

∣ 3 x - 1 ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 1 = - 14 or 3 x - 1 = 14

3 x - 1 = - 14 or 3 x - 1 = 14

x = - \frac{13}{3} or x = 5

∣ x ∣ = 21

∣ x ∣ = 29

∣ x - 5 ∣ = 3 + x

∣ 8 + 2 x ∣ = - 4

∣ 3 y + 2 ∣ - 7 = - 5

What is the answer to 2|3x-1|+5=33 ?
The answer to 2|3x-1|+5=33 is x=-13/3 \lor x=5
Solve for x: 2|3x-1|+5=33
The solution is x=-13/3 \lor x=5