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

The answer to 7/(x+7)= 8/(x-4) is x=-84

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

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

x = - 84

Solution steps

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

Cross multiply

7 x - 28 = 8 x + 56

Move

28

to the right side

7 x = 8 x + 84

Move

8 x

to the left side

- x = 84

Divide both sides by

- 1

x = - 84

Verify Solutions

Find undefined (singularity) points:

x = - 7, x = 4

Combine undefined points with solutions:

x = - 84

\frac{1 + 3 x}{x} = \frac{5}{- 2}

\frac{( \frac{2 π}{x} )}{4} = 3

\frac{40}{y} = \frac{8}{5}

\frac{2 ^{2} - 8 x}{1 - x} = 5

x^{- 2} - 6 x^{- 1} + 5 = 0

What is the answer to 7/(x+7)= 8/(x-4) ?
The answer to 7/(x+7)= 8/(x-4) is x=-84
Solve for x: 7/(x+7)= 8/(x-4)
The solution is x=-84