What is the answer to |6-10x|=14 ?

The answer to |6-10x|=14 is x=-4/5 \lor x=2

Solve for x: |6-10x|=14

The solution is x=-4/5 \lor x=2

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∣ 6 - 10 x ∣ = 14

x = - \frac{4}{5} or x = 2

Decimal Notation

x = - 0.8, x = 2

Solution steps

∣ 6 - 10 x ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 - 10 x = - 14 or 6 - 10 x = 14

6 - 10 x = - 14 or 6 - 10 x = 14

x = - \frac{4}{5} or x = 2

∣ x + 6 ∣ = x + 6

- ∣ 2 m - 3 ∣ = 14

8 ∣ 4 - x ∣ = 32

- ∣ y ∣ = - 5

- ∣ y ∣ = - 4