What is the answer to |3x-2|=8 ?

The answer to |3x-2|=8 is x=-2\lor x= 10/3

Solve for x: |3x-2|=8

The solution is x=-2\lor x= 10/3

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∣ 3 x - 2 ∣ = 8

x = - 2 or x = \frac{10}{3}

Decimal Notation

x = - 2, x = 3.33333 \dots

Solution steps

∣ 3 x - 2 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 2 = - 8 or 3 x - 2 = 8

3 x - 2 = - 8 or 3 x - 2 = 8

x = - 2 or x = \frac{10}{3}

∣ x + 1 ∣ < 4

\frac{3 ^{n + 1} - 1 + 2 \cdot 3 ^{n + 1}}{2}

2 (a - 8) + 7 = 5 (a + 2) - 3 a - 19

\frac{2 π}{3} \cdot 2

4 x + 2 (x + 6) = 36