What is the answer to 8+|4x+1|=8 ?

The answer to 8+|4x+1|=8 is x=-1/4

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8+|4x+1|=8

8 + ∣ 4 x + 1 ∣ = 8

x = - \frac{1}{4}

Decimal Notation

x = - 0.25

Solution steps

8 + ∣ 4 x + 1 ∣ = 8

Subtract

8

from both sides

8 + ∣ 4 x + 1 ∣ - 8 = 8 - 8

Simplify

∣ 4 x + 1 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

4 x + 1 = 0

4 x + 1 = 0 : x = - \frac{1}{4}

x = - \frac{1}{4}

2 y + 42 + 2 y = 6

7 x - 12 = 23

5 - 7 (a + 2) = 7 + a

a^{6} + b^{6}

- 45 \cdot \frac{π}{180}