What is the answer to (2x)/(2x+1)= 5/(4-x) ?

The answer to (2x)/(2x+1)= 5/(4-x) is x=-1/2-i 3/2 ,x=-1/2+i 3/2

Solve for x: (2x)/(2x+1)= 5/(4-x)

The solution is x=-1/2-i 3/2 ,x=-1/2+i 3/2

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\frac{2 x}{2 x + 1} = \frac{5}{4 - x}

x = - \frac{1}{2} - i \frac{3}{2}, x = - \frac{1}{2} + i \frac{3}{2}

Solution steps

\frac{2 x}{2 x + 1} = \frac{5}{4 - x}

Cross multiply

2 x (4 - x) = (2 x + 1) \cdot 5

Solve

2 x (4 - x) = (2 x + 1) \cdot 5 : x = - \frac{1}{2} - i \frac{3}{2}, x = - \frac{1}{2} + i \frac{3}{2}

x = - \frac{1}{2} - i \frac{3}{2}, x = - \frac{1}{2} + i \frac{3}{2}

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

y, y^{- 4} = z

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

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

\frac{3}{2 x} - \frac{4}{5 x} = 1

What is the answer to (2x)/(2x+1)= 5/(4-x) ?
The answer to (2x)/(2x+1)= 5/(4-x) is x=-1/2-i 3/2 ,x=-1/2+i 3/2
Solve for x: (2x)/(2x+1)= 5/(4-x)
The solution is x=-1/2-i 3/2 ,x=-1/2+i 3/2