What is the answer to (x+2)/(6x)=(x-2)/(5x) ?

The answer to (x+2)/(6x)=(x-2)/(5x) is x=22

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(x+2)/(6x)=(x-2)/(5x)

\frac{x + 2}{6 x} = \frac{x - 2}{5 x}

x = 22

Solution steps

\frac{x + 2}{6 x} = \frac{x - 2}{5 x}

Cross multiply

(x + 2) \cdot 5 x = 6 x (x - 2)

Solve

(x + 2) \cdot 5 x = 6 x (x - 2) : x = 0, x = 22

x = 0, x = 22

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x = 22

\frac{a}{b - x} = \frac{b}{a - x}

\frac{2}{2 x + 1} = \frac{- 3}{7}

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

\frac{2}{x - 2} = 7 + \frac{x}{x - 2}

\frac{x ^{2}}{x + 6} - 3 = 0

What is the answer to (x+2)/(6x)=(x-2)/(5x) ?
The answer to (x+2)/(6x)=(x-2)/(5x) is x=22
Solve for x: (x+2)/(6x)=(x-2)/(5x)
The solution is x=22