What is the answer to 0=|3x+1|-5 ?

The answer to 0=|3x+1|-5 is x=-2\lor x= 4/3

Solve for x: 0=|3x+1|-5

The solution is x=-2\lor x= 4/3

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0 = ∣ 3 x + 1 ∣ - 5

x = - 2 or x = \frac{4}{3}

Decimal Notation

x = - 2, x = 1.33333 \dots

Solution steps

0 = ∣ 3 x + 1 ∣ - 5

Switch sides

∣ 3 x + 1 ∣ - 5 = 0

Move

5

to the right side

∣ 3 x + 1 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 1 = - 5 or 3 x + 1 = 5

3 x + 1 = - 5 or 3 x + 1 = 5

x = - 2 or x = \frac{4}{3}

∣ 4 n - 9 ∣ = - 5

∣ m - 6.8 ∣ = 0

∣ 5 x - 2 ∣ = 3 x - 6

6 - x^{2} = 1

∣ p - 3 ∣ = 9