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

The answer to (x-3)/(6x)=(x+2)/(5x) is x=-27

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

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

x = - 27

Solution steps

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

Cross multiply

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

Solve

(x - 3) \cdot 5 x = 6 x (x + 2) : x = 0, x = - 27

x = 0, x = - 27

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x = - 27

\frac{10}{9 a} = 8

n, p = \frac{n + k}{n - 1}

\frac{1}{e ^{2}} = e^{- 2}

- 1 = \frac{9 - x ^{2}}{x ^{2} + 3 x}

- 10 = \frac{6}{5 y}

What is the answer to (x-3)/(6x)=(x+2)/(5x) ?
The answer to (x-3)/(6x)=(x+2)/(5x) is x=-27
Solve for x: (x-3)/(6x)=(x+2)/(5x)
The solution is x=-27