What is the answer to |2x+4|-1=7 ?

The answer to |2x+4|-1=7 is x=-6\lor x=2

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|2x+4|-1=7

∣ 2 x + 4 ∣ - 1 = 7

x = - 6 or x = 2

Solution steps

∣ 2 x + 4 ∣ - 1 = 7

Move

1

to the right side

∣ 2 x + 4 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 4 = - 8 or 2 x + 4 = 8

2 x + 4 = - 8 or 2 x + 4 = 8

x = - 6 or x = 2

∣ 3 + x ∣ = 5

∣ 9 + 8 x ∣ = 31

∣ 2 v ∣ = \frac{10}{3}

∣ 9 - 9 x ∣ + 6 = 60

∣ v + 6 ∣ - 6 = 6