What is the answer to 7/(x-4)= 5/(x+2) ?

The answer to 7/(x-4)= 5/(x+2) is x=-17

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7/(x-4)= 5/(x+2)

\frac{7}{x - 4} = \frac{5}{x + 2}

x = - 17

Solution steps

\frac{7}{x - 4} = \frac{5}{x + 2}

Cross multiply

7 x + 14 = 5 x - 20

Move

14

to the right side

7 x = 5 x - 34

Move

5 x

to the left side

2 x = - 34

Divide both sides by

2

x = - 17

Verify Solutions

Find undefined (singularity) points:

x = 4, x = - 2

Combine undefined points with solutions:

x = - 17

a = \frac{c d}{x}

\frac{3}{x - 5} = \frac{4}{x + 5}

\frac{2}{( x - 1 ) ^{3}} = 0

y = \frac{12}{1 - x}, x

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

What is the answer to 7/(x-4)= 5/(x+2) ?
The answer to 7/(x-4)= 5/(x+2) is x=-17
Solve for x: 7/(x-4)= 5/(x+2)
The solution is x=-17