What is the answer to |3x-2|= 3/2 ?

The answer to |3x-2|= 3/2 is x= 1/6 \lor x= 7/6

Solve for x: |3x-2|= 3/2

The solution is x= 1/6 \lor x= 7/6

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∣ 3 x - 2 ∣ = \frac{3}{2}

x = \frac{1}{6} or x = \frac{7}{6}

Decimal Notation

x = 0.16666 \dots, x = 1.16666 \dots

Solution steps

∣ 3 x - 2 ∣ = \frac{3}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = \frac{1}{6} or x = \frac{7}{6}

4 ∣ x + 3 ∣ = 20

∣ w ∣ - 20 = - 14

\frac{4}{5} - 2 x = 4

8 ∣ - 5 p ∣ - 7 = - 15

∣ 2 x + 5 ∣ + 4 x = 3

What is the answer to |3x-2|= 3/2 ?
The answer to |3x-2|= 3/2 is x= 1/6 \lor x= 7/6
Solve for x: |3x-2|= 3/2
The solution is x= 1/6 \lor x= 7/6