What is the answer to |3x+7|-4=-2 ?

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

Solve for x: |3x+7|-4=-2

The solution is x=-3\lor x=-5/3

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∣ 3 x + 7 ∣ - 4 = - 2

x = - 3 or x = - \frac{5}{3}

Decimal Notation

x = - 3, x = - 1.66666 \dots

Solution steps

∣ 3 x + 7 ∣ - 4 = - 2

Move

4

to the right side

∣ 3 x + 7 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 7 = - 2 or 3 x + 7 = 2

3 x + 7 = - 2 or 3 x + 7 = 2

x = - 3 or x = - \frac{5}{3}

∣ x + 6 ∣ - 10 = 3

∣ 6 - 5 r ∣ = 0

∣ z ∣ + z = 1

∣ 3 x - 2 ∣ - x = 4

∣ p + 6 ∣ + 9 = 8

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