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

The answer to (x+5)/x =(x+2)/(x-2) is x=10

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

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

x = 10

Solution steps

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

Cross multiply

x^{2} + 3 x - 10 = x^{2} + 2 x

Move

10

to the right side

x^{2} + 3 x = x^{2} + 2 x + 10

Subtract

x^{2} + 2 x

from both sides

x^{2} + 3 x - (x^{2} + 2 x) = x^{2} + 2 x + 10 - (x^{2} + 2 x)

Simplify

x = 10

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 2

Combine undefined points with solutions:

x = 10

0 = \frac{x ^{2} - 1}{x ^{3} - 2 x ^{2}}

0.24 = \frac{21}{x}

\frac{( x ) ( x )}{( 0.5 - x )} = 8.3

\frac{3}{4 x - 2} = \frac{5}{7 x + 3}

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

What is the answer to (x+5)/x =(x+2)/(x-2) ?
The answer to (x+5)/x =(x+2)/(x-2) is x=10
Solve for x: (x+5)/x =(x+2)/(x-2)
The solution is x=10