What is the answer to 2|3x-1|+5=19 ?

The answer to 2|3x-1|+5=19 is x=-2\lor x= 8/3

Solve for x: 2|3x-1|+5=19

The solution is x=-2\lor x= 8/3

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2 ∣ 3 x - 1 ∣ + 5 = 19

x = - 2 or x = \frac{8}{3}

Decimal Notation

x = - 2, x = 2.66666 \dots

Solution steps

2 ∣ 3 x - 1 ∣ + 5 = 19

Move

5

to the right side

2 ∣ 3 x - 1 ∣ = 14

Divide both sides by

2

∣ 3 x - 1 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 1 = - 7 or 3 x - 1 = 7

3 x - 1 = - 7 or 3 x - 1 = 7

x = - 2 or x = \frac{8}{3}

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What is the answer to 2|3x-1|+5=19 ?
The answer to 2|3x-1|+5=19 is x=-2\lor x= 8/3
Solve for x: 2|3x-1|+5=19
The solution is x=-2\lor x= 8/3