What is the answer to |3x+1|-4=-1 ?

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

Solve for x: |3x+1|-4=-1

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

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∣ 3 x + 1 ∣ - 4 = - 1

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

Decimal Notation

x = - 1.33333 \dots, x = 0.66666 \dots

Solution steps

∣ 3 x + 1 ∣ - 4 = - 1

Move

4

to the right side

∣ 3 x + 1 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

∣ 3 x + 2 ∣ = ∣ 7 + 2 ∣

- 2 x = x^{2} - 1 + 2

81 x^{2} - 16 = 0

\frac{5 π}{3} + 4 π

∣ x + 2 ∣ \geq 1

What is the answer to |3x+1|-4=-1 ?
The answer to |3x+1|-4=-1 is x=-4/3 \lor x= 2/3
Solve for x: |3x+1|-4=-1
The solution is x=-4/3 \lor x= 2/3