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

The answer to (x-2)/(4x)=(x+4)/(5x) is x=26

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

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

x = 26

Solution steps

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

Cross multiply

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

Solve

(x - 2) \cdot 5 x = 4 x (x + 4) : x = 0, x = 26

x = 0, x = 26

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x = 26

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

\frac{x - 8}{n - 10} = \frac{n}{x}

a^{- 2} = 4

m, \frac{r + s}{mn} = p

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

What is the answer to (x-2)/(4x)=(x+4)/(5x) ?
The answer to (x-2)/(4x)=(x+4)/(5x) is x=26
Solve for x: (x-2)/(4x)=(x+4)/(5x)
The solution is x=26