What is the answer to 6|2x+5|-7=23 ?

The answer to 6|2x+5|-7=23 is x=-5\lor x=0

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6|2x+5|-7=23

6 ∣ 2 x + 5 ∣ - 7 = 23

x = - 5 or x = 0

Solution steps

6 ∣ 2 x + 5 ∣ - 7 = 23

Move

7

to the right side

6 ∣ 2 x + 5 ∣ = 30

Divide both sides by

6

∣ 2 x + 5 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 5 or x = 0

4 = ∣ v ∣ - 4

∣ x ∣ + 1 = 9

x^{2} - x + 1 = 7

∣ 5 x + 1 ∣ = 2 x

∣ k + 1 ∣ = 5