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

The answer to |2x+1|=9 is x=-5\lor x=4

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|2x+1|=9

∣ 2 x + 1 ∣ = 9

x = - 5 or x = 4

Solution steps

∣ 2 x + 1 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 1 = - 9 or 2 x + 1 = 9

2 x + 1 = - 9 or 2 x + 1 = 9

x = - 5 or x = 4

\frac{( a ^{- 2} b ^{3} ) ^{2}}{( a ^{3} b ^{2} ) ^{3}}

2 (x - 14) - x < 7 (x + 2) + x \leq x + 70

\frac{3}{4} x = 4

\frac{12 x + 65}{( x + 4 ) ^{2}} \geq 5

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