What is the answer to -7-|3x+1|=|3x+1|-7 ?

The answer to -7-|3x+1|=|3x+1|-7 is x=-1/3

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-7-|3x+1|=|3x+1|-7

- 7 - ∣ 3 x + 1 ∣ = ∣ 3 x + 1 ∣ - 7

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

- 7 - ∣ 3 x + 1 ∣ = ∣ 3 x + 1 ∣ - 7

Add

7

to both sides

- 7 - ∣ 3 x + 1 ∣ + 7 = ∣ 3 x + 1 ∣ - 7 + 7

Simplify

- ∣ 3 x + 1 ∣ = ∣ 3 x + 1 ∣

Move

∣ 3 x + 1 ∣

to the left side

- 2 ∣ 3 x + 1 ∣ = 0

Divide both sides by

- 2

∣ 3 x + 1 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

3 x + 1 = 0

3 x + 1 = 0 : x = - \frac{1}{3}

x = - \frac{1}{3}

- 2 < 2 x + 4 < 12

- \frac{3}{2} (- 6)

(1 \frac{1}{2})^{4}

- 2 x^{2} + 28 x - 96 = 0

12 x^{2} - 4 x y + 9 x y - 3 y^{2}

What is the answer to -7-|3x+1|=|3x+1|-7 ?
The answer to -7-|3x+1|=|3x+1|-7 is x=-1/3
Solve for x: -7-|3x+1|=|3x+1|-7
The solution is x=-1/3