What is the answer to |3x-2|=23 ?

The answer to |3x-2|=23 is x=-7\lor x= 25/3

Solve for x: |3x-2|=23

The solution is x=-7\lor x= 25/3

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∣ 3 x - 2 ∣ = 23

x = - 7 or x = \frac{25}{3}

Decimal Notation

x = - 7, x = 8.33333 \dots

Solution steps

∣ 3 x - 2 ∣ = 23

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 2 = - 23 or 3 x - 2 = 23

3 x - 2 = - 23 or 3 x - 2 = 23

x = - 7 or x = \frac{25}{3}

10 - 4 ∣ 4 - 5 x ∣ = - 26

\frac{t}{2} = - 6

1 = ∣ r + 4 ∣

∣ 4 x - 10 ∣ = 50

∣ - 6 z - 6 ∣ = 23