What is the answer to 5|2x+1|-3=2 ?

The answer to 5|2x+1|-3=2 is x=-1\lor x=0

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5|2x+1|-3=2

5 ∣ 2 x + 1 ∣ - 3 = 2

x = - 1 or x = 0

Solution steps

5 ∣ 2 x + 1 ∣ - 3 = 2

Move

3

to the right side

5 ∣ 2 x + 1 ∣ = 5

Divide both sides by

5

∣ 2 x + 1 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 1 = - 1 or 2 x + 1 = 1

2 x + 1 = - 1 or 2 x + 1 = 1

x = - 1 or x = 0

∣ (3 x - 5) (x + 2) ∣ = 4

0 = ∣ z - 5 ∣

- 4 ∣ 9 + x ∣ = - 40

0 = 3 - ∣ x + 4 ∣

ln (ln (y)) = - ln ∣ x ∣