What is the answer to 2|3x-4|+1=3 ?

The answer to 2|3x-4|+1=3 is x=1\lor x= 5/3

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2|3x-4|+1=3

2 ∣ 3 x - 4 ∣ + 1 = 3

x = 1 or x = \frac{5}{3}

Decimal Notation

x = 1, x = 1.66666 \dots

Solution steps

2 ∣ 3 x - 4 ∣ + 1 = 3

Move

1

to the right side

2 ∣ 3 x - 4 ∣ = 2

Divide both sides by

2

∣ 3 x - 4 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 4 = - 1 or 3 x - 4 = 1

3 x - 4 = - 1 or 3 x - 4 = 1

x = 1 or x = \frac{5}{3}

∣ 2 b + 9 ∣ = 5

∣ - 7 + y ∣ = 1313

∣ x + 2 ∣ + 7 = 1

∣ x + 2 ∣ + 7 = 4

∣ - 8 n ∣ = 80