What is the answer to -|3x+1|+7=2 ?

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

Solve for x: -|3x+1|+7=2

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

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- ∣ 3 x + 1 ∣ + 7 = 2

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

Decimal Notation

x = - 2, x = 1.33333 \dots

Solution steps

- ∣ 3 x + 1 ∣ + 7 = 2

Move

7

to the right side

- ∣ 3 x + 1 ∣ = - 5

Divide both sides by

- 1

∣ 3 x + 1 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 1 = - 5 or 3 x + 1 = 5

3 x + 1 = - 5 or 3 x + 1 = 5

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

1 + ∣ 5 + 4 x ∣ = 4

7 = \frac{x}{6}

∣ 13 + 4 y ∣ = 15

6 - ∣ 5 x + 6 ∣ = 4

6 - ∣ 4 - 4 x ∣ = - 6

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