What is the answer to |3x+7|=91 ?

The answer to |3x+7|=91 is x=-98/3 \lor x=28

Solve for x: |3x+7|=91

The solution is x=-98/3 \lor x=28

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∣ 3 x + 7 ∣ = 91

x = - \frac{98}{3} or x = 28

Decimal Notation

x = - 32.66666 \dots, x = 28

Solution steps

∣ 3 x + 7 ∣ = 91

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 7 = - 91 or 3 x + 7 = 91

3 x + 7 = - 91 or 3 x + 7 = 91

x = - \frac{98}{3} or x = 28

4 ∣ - 4 p - 1 ∣ + 6 = 10

0 = - 2 ∣ r - 70 ∣

∣ x + 5 ∣ + 3 = 14

∣ x + 5 ∣ = 55

∣ 5 x - 4 ∣ + 2 = 9