What is the answer to |5-12x|=7 ?

The answer to |5-12x|=7 is x=-1/6 \lor x=1

Solve for x: |5-12x|=7

The solution is x=-1/6 \lor x=1

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∣ 5 - 12 x ∣ = 7

x = - \frac{1}{6} or x = 1

Decimal Notation

x = - 0.16666 \dots, x = 1

Solution steps

∣ 5 - 12 x ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 - 12 x = - 7 or 5 - 12 x = 7

5 - 12 x = - 7 or 5 - 12 x = 7

x = - \frac{1}{6} or x = 1

5 ∣ x - 6 ∣ - 7 = 2

∣ x ∣ - 6 = 4

∣ 2 x + 1 ∣ = 3 x - 4

∣ x ∣ - 5 = 4

- 2 ∣ 7 d ∣ = 14