What is the answer to |-3+2x|+9=24 ?

The answer to |-3+2x|+9=24 is x=-6\lor x=9

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|-3+2x|+9=24

∣ - 3 + 2 x ∣ + 9 = 24

x = - 6 or x = 9

Solution steps

∣ - 3 + 2 x ∣ + 9 = 24

Move

9

to the right side

∣ - 3 + 2 x ∣ = 15

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 3 + 2 x = - 15 or - 3 + 2 x = 15

- 3 + 2 x = - 15 or - 3 + 2 x = 15

x = - 6 or x = 9

x^{3} + 1 = 1

∣ 6 x - 12 ∣ + 7 = 19

x^{2} + x - 36 = 6

∣ 0.5 x + 2 ∣ - (2 x - 7) = 0

∣ 2 x + 8 ∣ = 3 x + 2