What is the answer to 2|2x+3|-10=0 ?

The answer to 2|2x+3|-10=0 is x=-4\lor x=1

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2|2x+3|-10=0

2 ∣ 2 x + 3 ∣ - 10 = 0

x = - 4 or x = 1

Solution steps

2 ∣ 2 x + 3 ∣ - 10 = 0

Move

10

to the right side

2 ∣ 2 x + 3 ∣ = 10

Divide both sides by

2

∣ 2 x + 3 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 3 = - 5 or 2 x + 3 = 5

2 x + 3 = - 5 or 2 x + 3 = 5

x = - 4 or x = 1

∣ 3 x - 6 ∣ = 1

\frac{1}{4} x - 3 = 10

∣ r - 9 ∣ = - 3

- ∣ 2 x + 7 ∣ - 1 = - 3

∣ 2 x + 9 ∣ - 5 = - 5