What is the answer to (3(x+5)+2)/((x+5))=5 ?

The answer to (3(x+5)+2)/((x+5))=5 is x=-4

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(3(x+5)+2)/((x+5))=5

\frac{3 ( x + 5 ) + 2}{( x + 5 )} = 5

x = - 4

Solution steps

\frac{3 ( x + 5 ) + 2}{( x + 5 )} = 5

Simplify

\frac{3 ( x + 5 ) + 2}{x + 5} : \frac{3 x + 17}{x + 5}

\frac{3 x + 17}{x + 5} = 5

Multiply both sides by

x + 5

3 x + 17 = 5 (x + 5)

Expand

5 (x + 5) : 5 x + 25

3 x + 17 = 5 x + 25

Move

17

to the right side

3 x = 5 x + 8

Move

5 x

to the left side

- 2 x = 8

Divide both sides by

- 2

x = - 4

Verify Solutions

Find undefined (singularity) points:

x = - 5

Combine undefined points with solutions:

x = - 4

(\frac{x + 1}{x})^{2} - 2 (\frac{x - 1}{x + 4}) = 11

a, \frac{1}{a} + \frac{1}{b} = \frac{5}{6}

\frac{x ^{2} + 3 x - 20}{x ^{2} + 3 x} = 8

\frac{a}{( x - b )} + \frac{b}{( x - a )} = 2

\frac{( n + 2 ) !}{n !} = 6

What is the answer to (3(x+5)+2)/((x+5))=5 ?
The answer to (3(x+5)+2)/((x+5))=5 is x=-4
Solve for x: (3(x+5)+2)/((x+5))=5
The solution is x=-4