What is the answer to 4+|2x+1|=7 ?

The answer to 4+|2x+1|=7 is x=-2\lor x=1

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4+|2x+1|=7

4 + ∣ 2 x + 1 ∣ = 7

x = - 2 or x = 1

Solution steps

4 + ∣ 2 x + 1 ∣ = 7

Move

4

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

2 x^{2} + 9 x + 24 = 0

\frac{( x ^{2} y ) ^{- \frac{1}{3}} ( x y ) ^{\frac{1}{4}}}{( x y ^{- 2} ) ^{\frac{1}{12}}}

1 \cdot \frac{1}{197.927} \cdot \frac{2}{4} \cdot 159.69

2 x^{3} + 18 x^{2} + 66 x + 50

4 x^{3} - 12 y^{4}