What is the answer to (x+2)/(5x)=(x-3)/(4x) ?

The answer to (x+2)/(5x)=(x-3)/(4x) is x=23

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(x+2)/(5x)=(x-3)/(4x)

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

x = 23

Solution steps

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

Cross multiply

(x + 2) \cdot 4 x = 5 x (x - 3)

Solve

(x + 2) \cdot 4 x = 5 x (x - 3) : x = 0, x = 23

x = 0, x = 23

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x = 23

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

\frac{4}{x} = 5

\frac{x ^{2} - 4 x}{( x - 2 ) ^{2}} = 0

\frac{5}{x + 2} + \frac{3}{5 x + 3} = 0

\frac{- 2 x ^{2} + 5 x - 1}{2 x - 1} = 0

What is the answer to (x+2)/(5x)=(x-3)/(4x) ?
The answer to (x+2)/(5x)=(x-3)/(4x) is x=23
Solve for x: (x+2)/(5x)=(x-3)/(4x)
The solution is x=23