What is the answer to 1/(w-5)+6= w/(w-5) ?

The answer to 1/(w-5)+6= w/(w-5) is w= 29/5

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1/(w-5)+6= w/(w-5)

\frac{1}{w - 5} + 6 = \frac{w}{w - 5}

w = \frac{29}{5}

Decimal Notation

w = 5.8

Solution steps

\frac{1}{w - 5} + 6 = \frac{w}{w - 5}

Multiply both sides by

w - 5

1 + 6 (w - 5) = w

Expand

1 + 6 (w - 5) : 6 w - 29

6 w - 29 = w

Move

29

to the right side

6 w = w + 29

Move

w

to the left side

5 w = 29

Divide both sides by

5

w = \frac{29}{5}

Verify Solutions

Find undefined (singularity) points:

w = 5

Combine undefined points with solutions:

w = \frac{29}{5}

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

c - \frac{a}{x} = \frac{b}{x ^{2}}

\frac{15}{x + 5} = \frac{3}{4}

\frac{4}{r} = \frac{2 r - 1}{r + 2}

\frac{7}{( t + 4 ) ^{2}} = 0

What is the answer to 1/(w-5)+6= w/(w-5) ?
The answer to 1/(w-5)+6= w/(w-5) is w= 29/5
Solve for w: 1/(w-5)+6= w/(w-5)
The solution is w= 29/5