What is the answer to ((x-3))/x =((x+3))/((x+8)) ?

The answer to ((x-3))/x =((x+3))/((x+8)) is x=12

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((x-3))/x =((x+3))/((x+8))

\frac{( x - 3 )}{x} = \frac{( x + 3 )}{( x + 8 )}

x = 12

Solution steps

\frac{( x - 3 )}{x} = \frac{( x + 3 )}{( x + 8 )}

Cross multiply

x^{2} + 5 x - 24 = x^{2} + 3 x

Move

24

to the right side

x^{2} + 5 x = x^{2} + 3 x + 24

Subtract

x^{2} + 3 x

from both sides

x^{2} + 5 x - (x^{2} + 3 x) = x^{2} + 3 x + 24 - (x^{2} + 3 x)

Simplify

2 x = 24

Divide both sides by

2

x = 12

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 8

Combine undefined points with solutions:

x = 12

\frac{2 x + 4}{5 x} = 23 x - 6

\frac{( 0.5 ( x ^{5} ) )}{( 5 x ^{3} - 2 x ^{2} + 3 x + 7 )} = 5

k \cdot l = \frac{6}{7 \cdot ( j + 6 k ) e}

(\frac{5 x}{4 x}) + 2 x = 6

\frac{1}{5 y - 2} = 5

What is the answer to ((x-3))/x =((x+3))/((x+8)) ?
The answer to ((x-3))/x =((x+3))/((x+8)) is x=12
Solve for x: ((x-3))/x =((x+3))/((x+8))
The solution is x=12