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

The answer to (m+5)/(m+2)=2 is m=1

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(m+5)/(m+2)=2

\frac{m + 5}{m + 2} = 2

m = 1

Solution steps

\frac{m + 5}{m + 2} = 2

Multiply both sides by

m + 2

m + 5 = 2 (m + 2)

Expand

2 (m + 2) : 2 m + 4

m + 5 = 2 m + 4

Move

5

to the right side

m = 2 m - 1

Move

2 m

to the left side

- m = - 1

Divide both sides by

- 1

m = 1

Verify Solutions

Find undefined (singularity) points:

m = - 2

Combine undefined points with solutions:

m = 1

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

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

\frac{1}{3 x + 4} = x - 2

\frac{- 7}{4 x} + \frac{5}{6 x} = 1

\frac{x ^{2} + 3 x - 4}{x - 3} = 0