What is the answer to |2x+3|-7=24 ?

The answer to |2x+3|-7=24 is x=-17\lor x=14

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|2x+3|-7=24

∣ 2 x + 3 ∣ - 7 = 24

x = - 17 or x = 14

Solution steps

∣ 2 x + 3 ∣ - 7 = 24

Move

7

to the right side

∣ 2 x + 3 ∣ = 31

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 3 = - 31 or 2 x + 3 = 31

2 x + 3 = - 31 or 2 x + 3 = 31

x = - 17 or x = 14

∣ 5 - 8 x ∣ + 3 = 4

\frac{x + 8}{3} = ∣ x ∣

∣ 1 - y ∣ = 1

∣ 3 x - 2 ∣ = 9 x - 6

∣ x + 12 ∣ + x = 6