What is the answer to |3x+2|-4=5-8 ?

The answer to |3x+2|-4=5-8 is x=-1\lor x=-1/3

Solve for x: |3x+2|-4=5-8

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

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∣ 3 x + 2 ∣ - 4 = 5 - 8

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

Decimal Notation

x = - 1, x = - 0.33333 \dots

Solution steps

∣ 3 x + 2 ∣ - 4 = 5 - 8

Subtract the numbers:

5 - 8 = - 3

∣ 3 x + 2 ∣ - 4 = - 3

Move

4

to the right side

∣ 3 x + 2 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 2 = - 1 or 3 x + 2 = 1

3 x + 2 = - 1 or 3 x + 2 = 1

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

∣ 3 - 2 x ∣ = x + 2

∣ 3 x + 2 ∣ = x + 1

∣ x - 4 ∣ + ∣ x - 8 ∣ + ∣ x - 12 ∣ = - 3

∣ x + 5 ∣ = 12

∣ 6 x - 4 ∣ (- 3) = - 9

What is the answer to |3x+2|-4=5-8 ?
The answer to |3x+2|-4=5-8 is x=-1\lor x=-1/3
Solve for x: |3x+2|-4=5-8
The solution is x=-1\lor x=-1/3