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

The answer to (x+5)/(5x)=(x-2)/(4x) is x=30

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

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

x = 30

Solution steps

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

Cross multiply

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

Solve

(x + 5) \cdot 4 x = 5 x (x - 2) : x = 0, x = 30

x = 0, x = 30

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x = 30

\frac{5}{x} = 4

700 = \frac{300 x + 14000}{x}

\frac{- 3}{17 ( 4 x - 1 )} = 3

\frac{10}{7} = \frac{6}{p}

30 = - \frac{1 9 ^{2}}{4 x - 20}

What is the answer to (x+5)/(5x)=(x-2)/(4x) ?
The answer to (x+5)/(5x)=(x-2)/(4x) is x=30
Solve for x: (x+5)/(5x)=(x-2)/(4x)
The solution is x=30