What is the answer to 4|3x+1|+4=6 ?

The answer to 4|3x+1|+4=6 is x=-1/2 \lor x=-1/6

Solve for x: 4|3x+1|+4=6

The solution is x=-1/2 \lor x=-1/6

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4 ∣ 3 x + 1 ∣ + 4 = 6

x = - \frac{1}{2} or x = - \frac{1}{6}

Decimal

x = - 0.5, x = - 0.16666 \dots

Solution steps

4 ∣ 3 x + 1 ∣ + 4 = 6

Move

4

to the right side

4 ∣ 3 x + 1 ∣ = 2

Divide both sides by

4

∣ 3 x + 1 ∣ = \frac{1}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 1 = - \frac{1}{2} or 3 x + 1 = \frac{1}{2}

3 x + 1 = - \frac{1}{2} or 3 x + 1 = \frac{1}{2}

x = - \frac{1}{2} or x = - \frac{1}{6}

∣ x - 2 ∣ + ∣ y - 3 ∣ = 4

∣ 2 x - 3 ∣ = 2 x + 2 + ((- x))

∣ x + 6 ∣ = - 2

∣ x - 1 ∣ + ∣ x - 2 ∣ = 3

9 ∣ x - 3 ∣ = 9

What is the answer to 4|3x+1|+4=6 ?
The answer to 4|3x+1|+4=6 is x=-1/2 \lor x=-1/6
Solve for x: 4|3x+1|+4=6
The solution is x=-1/2 \lor x=-1/6