What is the answer to |2x|+1=7 ?

The answer to |2x|+1=7 is x=-3\lor x=3

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|2x|+1=7

∣ 2 x ∣ + 1 = 7

x = - 3 or x = 3

Solution steps

∣ 2 x ∣ + 1 = 7

Move

1

to the right side

∣ 2 x ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x = - 6 or 2 x = 6

2 x = - 6 or 2 x = 6

x = - 3 or x = 3

\frac{1}{3} x + 6 = 9

∣ x + 8 ∣ = - 6

- 5 + ∣ 7 - 10 m ∣ = 8

∣ x ∣ = 1, 2

∣ 2 x - 4 ∣ = - 10