What is the answer to 2|2x+3|+7=13 ?

The answer to 2|2x+3|+7=13 is x=-3\lor x=0

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2|2x+3|+7=13

2 ∣ 2 x + 3 ∣ + 7 = 13

x = - 3 or x = 0

Solution steps

2 ∣ 2 x + 3 ∣ + 7 = 13

Move

7

to the right side

2 ∣ 2 x + 3 ∣ = 6

Divide both sides by

2

∣ 2 x + 3 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 3 or x = 0

∣ 8 + 2 x ∣ + 2 x = 40

∣ 2 m + 7 ∣ = 6 m + 13

5 - 2 ∣ x - 3 ∣ = 3

3 ∣ m + 8 ∣ = 39

10 = ∣ 2 x - 12 ∣