What is the answer to 3/4 =(x+1)/(x+2) ?

The answer to 3/4 =(x+1)/(x+2) is x=2

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3/4 =(x+1)/(x+2)

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

x = 2

Solution steps

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

Cross multiply

3 x + 6 = 4 x + 4

Move

6

to the right side

3 x = 4 x - 2

Move

4 x

to the left side

- x = - 2

Divide both sides by

- 1

x = 2

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = 2

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

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

\frac{2 x}{x - 3} = \frac{6}{x - 3} + 4

\frac{3}{x + 4} - 7 = - \frac{4}{x + 4}

x^{- 2} = 100