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

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

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

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

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∣ 5 x + 2 ∣ = 12

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

Solution steps

∣ 5 x + 2 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

- ∣ 1 - 5 x ∣ + 3 = - 6

∣ 5 v - 4 ∣ = 7

∣ x + 3 ∣ = 2 x + 1

- 2 = - 4 ∣ y + 2 ∣

\frac{x}{a} = b