What is the answer to (x+8)/(6-x)=13 ?

The answer to (x+8)/(6-x)=13 is x=5

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(x+8)/(6-x)=13

\frac{x + 8}{6 - x} = 13

x = 5

Solution steps

\frac{x + 8}{6 - x} = 13

Multiply both sides by

6 - x

x + 8 = 13 (6 - x)

Expand

13 (6 - x) : 78 - 13 x

x + 8 = 78 - 13 x

Move

8

to the right side

x = - 13 x + 70

Move

13 x

to the left side

14 x = 70

Divide both sides by

14

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 6

Combine undefined points with solutions:

x = 5

y - \frac{6}{y} = 5

3 (1 - \frac{1}{5 t}) = 0

h = \frac{E}{m g}

\frac{6}{x} - 1 = \frac{4}{x - 2}

F = G (\frac{m _{1} m _{2}}{d ^{2}})