What is the answer to x+8/x =(4x-5)/3 ?

The answer to x+8/x =(4x-5)/3 is x=-3,x=8

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x+8/x =(4x-5)/3

x + \frac{8}{x} = \frac{4 x - 5}{3}

x = - 3, x = 8

Solution steps

x + \frac{8}{x} = \frac{4 x - 5}{3}

Multiply by LCM

3 x^{2} + 24 = x (4 x - 5)

Solve

3 x^{2} + 24 = x (4 x - 5) : x = - 3, x = 8

x = - 3, x = 8

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 3, x = 8

\frac{( 100 P - 4000 )}{100 P} = 0.3

a, \frac{b + 2}{a + 1} = 4

\frac{18}{x} = \frac{20}{15}

\frac{x}{x + 6} = \frac{2 x}{x + 1} - 1

\frac{70}{p} = - 7

What is the answer to x+8/x =(4x-5)/3 ?
The answer to x+8/x =(4x-5)/3 is x=-3,x=8
Solve for x: x+8/x =(4x-5)/3
The solution is x=-3,x=8