What is the answer to (x-119)/(x+7)=-5 ?

The answer to (x-119)/(x+7)=-5 is x=14

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(x-119)/(x+7)=-5

\frac{x - 119}{x + 7} = - 5

x = 14

Solution steps

\frac{x - 119}{x + 7} = - 5

Multiply both sides by

x + 7

x - 119 = - 5 (x + 7)

Expand

- 5 (x + 7) : - 5 x - 35

x - 119 = - 5 x - 35

Move

119

to the right side

x = - 5 x + 84

Move

5 x

to the left side

6 x = 84

Divide both sides by

6

x = 14

Verify Solutions

Find undefined (singularity) points:

x = - 7

Combine undefined points with solutions:

x = 14

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

\frac{4 x}{x ^{2} - 25} = \frac{1}{5 - x}

y, 3 + \frac{5}{x} - y = 2

\frac{2 a - 3}{4 a - 5} = \frac{2}{5}

\frac{5 x - 8}{x - 1} = \frac{7 x - 4}{x + 2}