What is the answer to |7x+1|+8=8 ?

The answer to |7x+1|+8=8 is x=-1/7

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|7x+1|+8=8

∣ 7 x + 1 ∣ + 8 = 8

x = - \frac{1}{7}

Decimal Notation

x = - 0.14285 \dots

Solution steps

∣ 7 x + 1 ∣ + 8 = 8

Subtract

8

from both sides

∣ 7 x + 1 ∣ + 8 - 8 = 8 - 8

Simplify

∣ 7 x + 1 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

7 x + 1 = 0

7 x + 1 = 0 : x = - \frac{1}{7}

x = - \frac{1}{7}

- \frac{2}{5} (15 - 20 d + 5 c)

3 - (x - 6) \leq 4 x - 5

\frac{y}{4} - 1 = 2

\frac{6 !}{3 ! 3 !}

(16 x^{14} y^{- 2})^{- \frac{1}{2}}