What is the answer to |3p+2|=7 ?

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

Solve for p: |3p+2|=7

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

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∣ 3 p + 2 ∣ = 7

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

Decimal Notation

p = - 3, p = 1.66666 \dots

Solution steps

∣ 3 p + 2 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 p + 2 = - 7 or 3 p + 2 = 7

3 p + 2 = - 7 or 3 p + 2 = 7

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

- 1 = 2 ∣ x - 4 ∣ - 3

0 = ∣ x ∣ - 3

15 = 2 - ∣ p - 3 ∣

\frac{x}{3} - 1 + 2 = 0

∣ x - 6 ∣ = 13