What is the answer to (x-2)/(6x)=(x+3)/(5x) ?

The answer to (x-2)/(6x)=(x+3)/(5x) is x=-28

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(x-2)/(6x)=(x+3)/(5x)

\frac{x - 2}{6 x} = \frac{x + 3}{5 x}

x = - 28

Solution steps

\frac{x - 2}{6 x} = \frac{x + 3}{5 x}

Cross multiply

(x - 2) \cdot 5 x = 6 x (x + 3)

Solve

(x - 2) \cdot 5 x = 6 x (x + 3) : x = 0, x = - 28

x = 0, x = - 28

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x = - 28

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

\frac{1}{3 x} + 4 = 7

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

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

\frac{9 - x}{x} = - 4

What is the answer to (x-2)/(6x)=(x+3)/(5x) ?
The answer to (x-2)/(6x)=(x+3)/(5x) is x=-28
Solve for x: (x-2)/(6x)=(x+3)/(5x)
The solution is x=-28