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

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

Solve for x: |3x-2|=4

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

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∣ 3 x - 2 ∣ = 4

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

Decimal Notation

x = - 0.66666 \dots, x = 2

Solution steps

∣ 3 x - 2 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 2 = - 4 or 3 x - 2 = 4

3 x - 2 = - 4 or 3 x - 2 = 4

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

- 8 y \geq 56

\frac{6}{6}

4 (7 - w) + 4 w < 25

\frac{x}{3} = 16

\frac{( a ^{2} - b ^{2} )}{( a + b )} - (a + b)^{2} + 2 (a^{2} + ab)