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

The answer to |7x+1|-8=-1 is x=-8/7 \lor x= 6/7

Solve for x: |7x+1|-8=-1

The solution is x=-8/7 \lor x= 6/7

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∣ 7 x + 1 ∣ - 8 = - 1

x = - \frac{8}{7} or x = \frac{6}{7}

Decimal Notation

x = - 1.14285 \dots, x = 0.85714 \dots

Solution steps

∣ 7 x + 1 ∣ - 8 = - 1

Move

8

to the right side

∣ 7 x + 1 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x + 1 = - 7 or 7 x + 1 = 7

7 x + 1 = - 7 or 7 x + 1 = 7

x = - \frac{8}{7} or x = \frac{6}{7}

3 = ∣ q - 6 ∣

∣ q + 8 ∣ = 14

- 5 ∣ - 6 + x ∣ - 5 = 0

2 ∣ 5 x + 7 ∣ - 4 = 14

8 ∣ - 4 n - 3 ∣ - 1 = - 25

What is the answer to |7x+1|-8=-1 ?
The answer to |7x+1|-8=-1 is x=-8/7 \lor x= 6/7
Solve for x: |7x+1|-8=-1
The solution is x=-8/7 \lor x= 6/7