What is the answer to (4n)/(5n)= 8/(8+x) ?

The answer to (4n)/(5n)= 8/(8+x) is x=2;\quad n\ne 0

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(4n)/(5n)= 8/(8+x)

\frac{4 n}{5 n} = \frac{8}{8 + x}

x = 2; n \neq = 0

Solution steps

\frac{4 n}{5 n} = \frac{8}{8 + x}

Cross multiply

4 n (8 + x) = 40 n; n \neq = 0

Divide both sides by

4 n; n \neq = 0

8 + x = 10; n \neq = 0

Move

8

to the right side

x = 2; n \neq = 0

Verify Solutions

Find undefined (singularity) points:

x = - 8

Combine undefined points with solutions:

x = 2; n \neq = 0

\frac{x}{x - 84} = - \frac{1}{5}

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

\frac{625}{p ^{3}} = 5

P = \frac{R - C}{N} (R)

v, \frac{s}{v e} - 0 = L

What is the answer to (4n)/(5n)= 8/(8+x) ?
The answer to (4n)/(5n)= 8/(8+x) is x=2;\quad n\ne 0