What is the answer to |2x+1|-10=-3 ?

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

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|2x+1|-10=-3

∣ 2 x + 1 ∣ - 10 = - 3

x = - 4 or x = 3

Solution steps

∣ 2 x + 1 ∣ - 10 = - 3

Move

10

to the right side

∣ 2 x + 1 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 1 = - 7 or 2 x + 1 = 7

2 x + 1 = - 7 or 2 x + 1 = 7

x = - 4 or x = 3

\frac{∣ 5 - 9 x ∣}{3} = 2

5 - \frac{2}{x} = 3

∣ 5 - x ∣ = - 7

∣ 5 - x ∣ = - 8

- 8 ∣ 1 + x ∣ + 3 = 59