What is the answer to |7x-5|=1 ?

The answer to |7x-5|=1 is x= 4/7 \lor x= 6/7

Solve for x: |7x-5|=1

The solution is x= 4/7 \lor x= 6/7

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∣ 7 x - 5 ∣ = 1

x = \frac{4}{7} or x = \frac{6}{7}

Decimal Notation

x = 0.57142 \dots, x = 0.85714 \dots

Solution steps

∣ 7 x - 5 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 x - 5 = - 1 or 7 x - 5 = 1

7 x - 5 = - 1 or 7 x - 5 = 1

x = \frac{4}{7} or x = \frac{6}{7}

\frac{x}{4} = 8

∣ 4 w - 1 ∣ = - 5 w - 37

- 5 ∣ x + 10 ∣ = 9

∣ 4 y - 2 ∣ + 7 = 41

∣ w - 6 ∣ + 33 = 14