What is the answer to |7x-1|-7=3 ?

The answer to |7x-1|-7=3 is x=-9/7 \lor x= 11/7

Solve for x: |7x-1|-7=3

The solution is x=-9/7 \lor x= 11/7

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∣ 7 x - 1 ∣ - 7 = 3

x = - \frac{9}{7} or x = \frac{11}{7}

Decimal Notation

x = - 1.28571 \dots, x = 1.57142 \dots

Solution steps

∣ 7 x - 1 ∣ - 7 = 3

Move

7

to the right side

∣ 7 x - 1 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x - 1 = - 10 or 7 x - 1 = 10

7 x - 1 = - 10 or 7 x - 1 = 10

x = - \frac{9}{7} or x = \frac{11}{7}

∣ x + 2 ∣ + 3 = 0

∣ x + 8 ∣ + 1 = 0

\frac{3 x + 1}{4} = 2

- 15 = - 3 ∣ k ∣

∣ 7 x + 12 ∣ = 2

What is the answer to |7x-1|-7=3 ?
The answer to |7x-1|-7=3 is x=-9/7 \lor x= 11/7
Solve for x: |7x-1|-7=3
The solution is x=-9/7 \lor x= 11/7