What is the answer to 7-|6x+1|=7 ?

The answer to 7-|6x+1|=7 is x=-1/6

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7-|6x+1|=7

7 - ∣ 6 x + 1 ∣ = 7

x = - \frac{1}{6}

Solution steps

7 - ∣ 6 x + 1 ∣ = 7

Subtract

7

from both sides

7 - ∣ 6 x + 1 ∣ - 7 = 7 - 7

Simplify

- ∣ 6 x + 1 ∣ = 0

Divide both sides by

- 1

∣ 6 x + 1 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

6 x + 1 = 0

6 x + 1 = 0 : x = - \frac{1}{6}

x = - \frac{1}{6}

\frac{4}{7 i}

x^{2} - 6 x + 9 = 20

3 + 4 x = - 3 + 6 x

3 + 4 d - 14 = 15 - 5 d - 4 d

(x + 2) (x + 3) (x - 1) = (x + 4) (x + 4) (x - 4) + 7