What is the answer to -x-2-7x(1/x-1/2)=((1+x/2))/2+11/2 ?

The answer to -x-2-7x(1/x-1/2)=((1+x/2))/2+11/2 is x= 20/3

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-x-2-7x(1/x-1/2)=((1+x/2))/2+11/2

- x - 2 - 7 x (\frac{1}{x} - \frac{1}{2}) = \frac{( 1 + \frac{x}{2} )}{2} + \frac{11}{2}

x = \frac{20}{3}

Decimal

x = 6.66666 \dots

Solution steps

- x - 2 - 7 x (\frac{1}{x} - \frac{1}{2}) = \frac{( 1 + \frac{x}{2} )}{2} + \frac{11}{2}

Multiply by LCM

10 x - 36 = x + 24

Move

36

to the right side

10 x = x + 60

Move

x

to the left side

9 x = 60

Divide both sides by

9

x = \frac{20}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{20}{3}

\frac{20}{5} = \frac{30}{x}

\frac{( x - 2 )}{x} + \frac{4}{( x - 2 )} = \frac{8}{( x ^{2} - 2 x )}

x, \frac{1}{x} + \frac{1}{y} = \frac{1}{13}

b, a = 2 - \frac{1}{( 1 + b )}

\frac{7}{( 10 x )} = \frac{3}{20 + 5}

What is the answer to -x-2-7x(1/x-1/2)=((1+x/2))/2+11/2 ?
The answer to -x-2-7x(1/x-1/2)=((1+x/2))/2+11/2 is x= 20/3
Solve for x: -x-2-7x(1/x-1/2)=((1+x/2))/2+11/2
The solution is x= 20/3