What is the answer to 7+1/(x+5)=(5x)/(x+5) ?

The answer to 7+1/(x+5)=(5x)/(x+5) is x=-18

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7+1/(x+5)=(5x)/(x+5)

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

x = - 18

Solution steps

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

Multiply both sides by

x + 5

7 (x + 5) + 1 = 5 x

Expand

7 (x + 5) + 1 : 7 x + 36

7 x + 36 = 5 x

Move

36

to the right side

7 x = 5 x - 36

Move

5 x

to the left side

2 x = - 36

Divide both sides by

2

x = - 18

Verify Solutions

Find undefined (singularity) points:

x = - 5

Combine undefined points with solutions:

x = - 18

\frac{4 x}{x + 3} - \frac{1}{x} = \frac{1}{x}

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

\frac{6 x ^{2} + 18 x}{2 x ^{3}} = \frac{5}{x}

2 x - 2 x^{- 2} = 0

\frac{1}{x} - 6 = - 5 x

What is the answer to 7+1/(x+5)=(5x)/(x+5) ?
The answer to 7+1/(x+5)=(5x)/(x+5) is x=-18
Solve for x: 7+1/(x+5)=(5x)/(x+5)
The solution is x=-18