What is the answer to |-3x-2|=5 ?

The answer to |-3x-2|=5 is x=-7/3 \lor x=1

Solve for x: |-3x-2|=5

The solution is x=-7/3 \lor x=1

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∣ - 3 x - 2 ∣ = 5

x = - \frac{7}{3} or x = 1

Decimal Notation

x = - 2.33333 \dots, x = 1

Solution steps

∣ - 3 x - 2 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 3 x - 2 = - 5 or - 3 x - 2 = 5

- 3 x - 2 = - 5 or - 3 x - 2 = 5

x = - \frac{7}{3} or x = 1

\frac{130 0 ^{3}}{4.082 + 0.6}

∣ 5 - 2 x ∣ > 7

168

2 + 2 x + 2 x^{2} \leq 6 + x + x^{2}

\frac{∣ 3 + x ∣}{7} \leq 5