What is the answer to |1-7x|=13 ?

The answer to |1-7x|=13 is x=-12/7 \lor x=2

Solve for x: |1-7x|=13

The solution is x=-12/7 \lor x=2

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∣ 1 - 7 x ∣ = 13

x = - \frac{12}{7} or x = 2

Solution steps

∣ 1 - 7 x ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - 7 x = - 13 or 1 - 7 x = 13

1 - 7 x = - 13 or 1 - 7 x = 13

x = - \frac{12}{7} or x = 2

4 ∣ 8 - 5 n ∣ = 13

∣ 5 + b ∣ = 1

∣ 2 x - 7 ∣ = 5

\frac{x}{7} = 3

∣ x - 2 ∣ = 3 x + 6