What is the answer to x/(x-14)=(-2)/(x-5) ?

The answer to x/(x-14)=(-2)/(x-5) is x=7,x=-4

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x/(x-14)=(-2)/(x-5)

\frac{x}{x - 14} = \frac{- 2}{x - 5}

x = 7, x = - 4

Solution steps

\frac{x}{x - 14} = \frac{- 2}{x - 5}

Cross multiply

x (x - 5) = - (x - 14) \cdot 2

Solve

x (x - 5) = - (x - 14) \cdot 2 : x = 7, x = - 4

x = 7, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 14, x = 5

Combine undefined points with solutions:

x = 7, x = - 4

45 = - \frac{1}{x} - 45

\frac{3}{y} = - 6

\frac{3 - z}{z - 4} = \frac{1}{2}

t, \frac{x - v t}{t} = c - v

\frac{9 x}{8} - \frac{8}{9 x} = 0

What is the answer to x/(x-14)=(-2)/(x-5) ?
The answer to x/(x-14)=(-2)/(x-5) is x=7,x=-4
Solve for x: x/(x-14)=(-2)/(x-5)
The solution is x=7,x=-4