What is the answer to 6+|2x+1|=9 ?

The answer to 6+|2x+1|=9 is x=-2\lor x=1

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6+|2x+1|=9

6 + ∣ 2 x + 1 ∣ = 9

x = - 2 or x = 1

Solution steps

6 + ∣ 2 x + 1 ∣ = 9

Move

6

to the right side

∣ 2 x + 1 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 1 = - 3 or 2 x + 1 = 3

2 x + 1 = - 3 or 2 x + 1 = 3

x = - 2 or x = 1

\frac{x ^{- 2}}{x ^{- 8}}

\frac{33}{2} - \frac{33}{2 ( 100 ) ^{2}}

62 5^{- \frac{3}{4}}

12 - 51 r = 2 r + 1