What is the answer to 7| 1/2 x+3 1/2 |-2=5 ?

The answer to 7| 1/2 x+3 1/2 |-2=5 is x=-9\lor x=-5

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7| 1/2 x+3 1/2 |-2=5

7 \frac{1}{2} x + 3 \frac{1}{2} - 2 = 5

x = - 9 or x = - 5

Solution steps

7 \frac{1}{2} x + 3 \frac{1}{2} - 2 = 5

Convert mixed numbers to improper fractions:

3 \frac{1}{2} = \frac{7}{2}

7 \frac{1}{2} x + \frac{7}{2} - 2 = 5

Move

2

to the right side

7 \frac{1}{2} x + \frac{7}{2} = 7

Divide both sides by

7

\frac{1}{2} x + \frac{7}{2} = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{1}{2} x + \frac{7}{2} = - 1 or \frac{1}{2} x + \frac{7}{2} = 1

\frac{1}{2} x + \frac{7}{2} = - 1 or \frac{1}{2} x + \frac{7}{2} = 1

x = - 9 or x = - 5

x \cdot 10000 \cdot (\frac{2153}{315000})^{2} = 29800

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

25 p^{2} = 10 p - 1

x^{2} = - x^{2} + 4 x

10 \leq 8 - 2 x \leq 18

What is the answer to 7| 1/2 x+3 1/2 |-2=5 ?
The answer to 7| 1/2 x+3 1/2 |-2=5 is x=-9\lor x=-5
Solve for x: 7| 1/2 x+3 1/2 |-2=5
The solution is x=-9\lor x=-5