What is the answer to |7n+3|=52 ?

The answer to |7n+3|=52 is n=-55/7 \lor n=7

Solve for n: |7n+3|=52

The solution is n=-55/7 \lor n=7

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∣ 7 n + 3 ∣ = 52

n = - \frac{55}{7} or n = 7

Decimal

n = - 7.85714 \dots, n = 7

Solution steps

∣ 7 n + 3 ∣ = 52

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 n + 3 = - 52 or 7 n + 3 = 52

7 n + 3 = - 52 or 7 n + 3 = 52

n = - \frac{55}{7} or n = 7

0 = 2 ∣ x - 1 ∣ - 6

x^{2} - 15 = 2 ∣ x ∣

∣ y ∣ - 25 = - 15

∣ 2 x + 1 ∣ + ∣ x - 4 ∣ = 3

∣ 6 x + 12 ∣ = 1 + x