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

The answer to |7x+1|=3 is x=-4/7 \lor x= 2/7

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

The solution is x=-4/7 \lor x= 2/7

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∣ 7 x + 1 ∣ = 3

x = - \frac{4}{7} or x = \frac{2}{7}

Decimal Notation

x = - 0.57142 \dots, x = 0.28571 \dots

Solution steps

∣ 7 x + 1 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x + 1 = - 3 or 7 x + 1 = 3

7 x + 1 = - 3 or 7 x + 1 = 3

x = - \frac{4}{7} or x = \frac{2}{7}

∣ - 7 x ∣ = 7

∣ - x + 1 ∣ = - 10

∣ x - 1 ∣ = 3 x - 5

∣ x - 1 ∣ = 3 x - 9

∣ r + 8 ∣ + 7 = 19