What is the answer to 8/(x-7)= 4/(x-6) ?

The answer to 8/(x-7)= 4/(x-6) is x=5

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8/(x-7)= 4/(x-6)

\frac{8}{x - 7} = \frac{4}{x - 6}

x = 5

Solution steps

\frac{8}{x - 7} = \frac{4}{x - 6}

Cross multiply

8 x - 48 = 4 x - 28

Move

48

to the right side

8 x = 4 x + 20

Move

4 x

to the left side

4 x = 20

Divide both sides by

4

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 7, x = 6

Combine undefined points with solutions:

x = 5

1^{2} = \frac{2 ^{3}}{c - 2}

\frac{1}{2 x ^{2}} = 72

\frac{x - 2}{x + 3} = \frac{5}{6}

\frac{60}{x} - \frac{60}{x - 3} = 1

\frac{∣ x ∣}{x} = 1