What is the answer to |3n-2|=7 ?

The answer to |3n-2|=7 is n=-5/3 \lor n=3

Solve for n: |3n-2|=7

The solution is n=-5/3 \lor n=3

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∣ 3 n - 2 ∣ = 7

n = - \frac{5}{3} or n = 3

Decimal

n = - 1.66666 \dots, n = 3

Solution steps

∣ 3 n - 2 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 n - 2 = - 7 or 3 n - 2 = 7

3 n - 2 = - 7 or 3 n - 2 = 7

n = - \frac{5}{3} or n = 3

∣ 1 - 3 x ∣ = 37

∣ 2 x + 1 ∣ + 5 = x + 5

∣ x + 2 ∣ - 5 = 9

∣ 3 x - 9 ∣ - ∣ 4 x - 6 ∣ = 4

∣ x - 2 ∣ + ∣ x ∣ = 2