What is the answer to |2-5x|=12 ?

The answer to |2-5x|=12 is x=-2\lor x= 14/5

Solve for x: |2-5x|=12

The solution is x=-2\lor x= 14/5

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∣ 2 - 5 x ∣ = 12

x = - 2 or x = \frac{14}{5}

Solution steps

∣ 2 - 5 x ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 - 5 x = - 12 or 2 - 5 x = 12

2 - 5 x = - 12 or 2 - 5 x = 12

x = - 2 or x = \frac{14}{5}

3 x + 1 = ∣ x - 2 ∣

5 ∣ x - 6 ∣ - 11 = 2

∣ c - 100 ∣ + 6 = 106

∣ 3 x - 24 ∣ - 7 = - 7

\frac{n}{5} = 1