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

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

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

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

x = - 1, x = 5

Solution steps

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

Multiply both sides by

x - 4

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

Solve

x (x - 4) + 5 = 2 x (x - 4) : x = - 1, x = 5

x = - 1, x = 5

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = - 1, x = 5

1 0^{3} = \frac{I}{I ^{0}}

\frac{x + 4}{12} - \frac{8 - x}{x} = 1

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

- \frac{3}{5 x} + \frac{3}{35 x} = 18

a, z = \frac{m}{a}