What is the answer to |2x+5|-3=10 ?

The answer to |2x+5|-3=10 is x=-9\lor x=4

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|2x+5|-3=10

∣ 2 x + 5 ∣ - 3 = 10

x = - 9 or x = 4

Solution steps

∣ 2 x + 5 ∣ - 3 = 10

Move

3

to the right side

∣ 2 x + 5 ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 5 = - 13 or 2 x + 5 = 13

2 x + 5 = - 13 or 2 x + 5 = 13

x = - 9 or x = 4

\frac{4 x - 8}{5} = 4

5 + 7 ∣ x + 6 ∣ = 19

∣ 6 - 3 x ∣ = 18

3 ∣ x - 5 ∣ = 18

∣ 10 x + 2 ∣ + 8 = 1