What is the answer to ((2x+20))/(2x)=5x-4 ?

The answer to ((2x+20))/(2x)=5x-4 is x=2,x=-1

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((2x+20))/(2x)=5x-4

\frac{( 2 x + 20 )}{2 x} = 5 x - 4

x = 2, x = - 1

Solution steps

\frac{( 2 x + 20 )}{2 x} = 5 x - 4

Simplify

\frac{2 x + 20}{2 x} : \frac{x + 10}{x}

\frac{x + 10}{x} = 5 x - 4

Multiply both sides by

x

x + 10 = 5 x^{2} - 4 x

Solve

x + 10 = 5 x^{2} - 4 x : x = 2, x = - 1

x = 2, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - 1

\frac{2}{x + 2} + \frac{5}{3 x} = 4 x

\frac{2}{x} = \frac{x}{8}

x + \frac{2}{x} - 3 = 0

a, \frac{m}{a} = n + p

\frac{4}{2 x - 3} = \frac{2}{5}

What is the answer to ((2x+20))/(2x)=5x-4 ?
The answer to ((2x+20))/(2x)=5x-4 is x=2,x=-1
Solve for x: ((2x+20))/(2x)=5x-4
The solution is x=2,x=-1