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

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

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

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

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∣ 7 x - 1 ∣ = 3

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

Decimal

x = - 0.28571 \dots, x = 0.57142 \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{2}{7} or x = \frac{4}{7}

∣ x - 5 ∣ = 21

∣ x - 5 ∣ = 25

∣ x - 5 ∣ = 26

∣ 8 - 3 x ∣ = 3

∣ x - 5 ∣ = - 6