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

The answer to |3x+7|-4=-4 is x=-7/3

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|3x+7|-4=-4

∣ 3 x + 7 ∣ - 4 = - 4

x = - \frac{7}{3}

Decimal Notation

x = - 2.33333 \dots

Solution steps

∣ 3 x + 7 ∣ - 4 = - 4

Add

4

to both sides

∣ 3 x + 7 ∣ - 4 + 4 = - 4 + 4

Simplify

∣ 3 x + 7 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

3 x + 7 = 0

3 x + 7 = 0 : x = - \frac{7}{3}

x = - \frac{7}{3}

∣ 8 x + 32 ∣ = 40

x^{2} = ∣ x - 1 ∣

∣ 9 x + 1 ∣ = 1

∣ 2 x + (- 1) ∣ = 5

∣ - 10 + n ∣ - 2 = - 8