What is the answer to |3x-2|+4=8 ?

The answer to |3x-2|+4=8 is x=-2/3 \lor x=2

Solve for x: |3x-2|+4=8

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

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∣ 3 x - 2 ∣ + 4 = 8

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

Solution steps

∣ 3 x - 2 ∣ + 4 = 8

Move

4

to the right side

∣ 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

∣ 3 x - 2 ∣ + 4 = 7

- 4 ∣ s + 9 ∣ = - 24

3 ∣ x + 3 ∣ = 12

∣ 3 - 5 x ∣ + 1 = 2 x - 3

∣ 2 x + 3 ∣ = 0