What is the answer to 8+|4x+7|=8 ?

The answer to 8+|4x+7|=8 is x=-7/4

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8+|4x+7|=8

8 + ∣ 4 x + 7 ∣ = 8

x = - \frac{7}{4}

Decimal Notation

x = - 1.75

Solution steps

8 + ∣ 4 x + 7 ∣ = 8

Subtract

8

from both sides

8 + ∣ 4 x + 7 ∣ - 8 = 8 - 8

Simplify

∣ 4 x + 7 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

4 x + 7 = 0

4 x + 7 = 0 : x = - \frac{7}{4}

x = - \frac{7}{4}

∣ w ∣ = - 18

2 ∣ 2 x - 5 ∣ + 2 = 20

∣ 5 a + 8 ∣ = 3 a - 10

12 = 71 - ∣ 5 p + 9 ∣

∣ 2 x - 3 ∣ + 5 = 4