What is the answer to |2x+1|=6 ?

The answer to |2x+1|=6 is x=-7/2 \lor x= 5/2

Solve for x: |2x+1|=6

The solution is x=-7/2 \lor x= 5/2

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∣ 2 x + 1 ∣ = 6

x = - \frac{7}{2} or x = \frac{5}{2}

Solution steps

∣ 2 x + 1 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 1 = - 6 or 2 x + 1 = 6

2 x + 1 = - 6 or 2 x + 1 = 6

x = - \frac{7}{2} or x = \frac{5}{2}

∣ 5 x - 3 ∣ + 12 = 5

∣ 8 x + 1 ∣ - 10 = - 2

∣ 4 x + 7 ∣ = 2 x + 3

∣ 1 - x ∣ = 6

∣ 2 x + 7 ∣ = 9