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

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

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

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

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∣ 7 x + 1 ∣ - 7 = 3

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

Decimal Notation

x = - 1.57142 \dots, x = 1.28571 \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{11}{7} or x = \frac{9}{7}

16 = ∣ 12 - 2 y ∣

32 = ∣ y + 5 ∣

∣ 15 + x ∣ = 3

∣ - 25 x - 100 ∣ = 125

17 = ∣ x - 13 ∣

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