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

The answer to (-7)/(2x-2)=(-4)/(x+5) is x=43

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

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

x = 43

Solution steps

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

Cross multiply

- 7 x - 35 = - 8 x + 8

Move

35

to the right side

- 7 x = - 8 x + 43

Move

8 x

to the left side

x = 43

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 5

Combine undefined points with solutions:

x = 43

\frac{5 x}{16 x} = \frac{5}{x}

\frac{5 x}{x + 1} = 7 - \frac{5}{x + 1}

\frac{x}{3 x + 8} = \frac{2}{x}

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

2 = \frac{2 y}{y + 1} - \frac{3}{2 y}

What is the answer to (-7)/(2x-2)=(-4)/(x+5) ?
The answer to (-7)/(2x-2)=(-4)/(x+5) is x=43
Solve for x: (-7)/(2x-2)=(-4)/(x+5)
The solution is x=43