What is the answer to 1/(5m+4)+5=-1/3 ?

The answer to 1/(5m+4)+5=-1/3 is m=-67/80

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1/(5m+4)+5=-1/3

\frac{1}{5 m + 4} + 5 = - \frac{1}{3}

m = - \frac{67}{80}

Decimal Notation

m = - 0.8375

Solution steps

\frac{1}{5 m + 4} + 5 = - \frac{1}{3}

Multiply by LCM

75 m + 63 = - 5 m - 4

Move

63

to the right side

75 m = - 5 m - 67

Move

5 m

to the left side

80 m = - 67

Divide both sides by

80

m = - \frac{67}{80}

Verify Solutions

Find undefined (singularity) points:

m = - \frac{4}{5}

Combine undefined points with solutions:

m = - \frac{67}{80}

\frac{5}{x} = \frac{10}{4}

\frac{- 1000}{x} = 125

x^{2} - \frac{15}{x} = 4

\frac{4}{x} = \frac{3}{400}

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

What is the answer to 1/(5m+4)+5=-1/3 ?
The answer to 1/(5m+4)+5=-1/3 is m=-67/80
Solve for m: 1/(5m+4)+5=-1/3
The solution is m=-67/80