What is the answer to |3a+1|-2=4 ?

The answer to |3a+1|-2=4 is a=-7/3 \lor a= 5/3

Solve for a: |3a+1|-2=4

The solution is a=-7/3 \lor a= 5/3

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∣ 3 a + 1 ∣ - 2 = 4

a = - \frac{7}{3} or a = \frac{5}{3}

Decimal

a = - 2.33333 \dots, a = 1.66666 \dots

Solution steps

∣ 3 a + 1 ∣ - 2 = 4

Move

2

to the right side

∣ 3 a + 1 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 a + 1 = - 6 or 3 a + 1 = 6

3 a + 1 = - 6 or 3 a + 1 = 6

a = - \frac{7}{3} or a = \frac{5}{3}

∣ v - 4 ∣ + 9 = 28

\frac{5 ∣ x - 4 ∣}{8} = 10

∣ b + 20 ∣ = 60

∣ x ∣ + ∣ y ∣ = 3

∣ 2 x + 5 ∣ + 8 = 23

What is the answer to |3a+1|-2=4 ?
The answer to |3a+1|-2=4 is a=-7/3 \lor a= 5/3
Solve for a: |3a+1|-2=4
The solution is a=-7/3 \lor a= 5/3