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

The answer to 1/(x+2)= 4/(x+3) is x=-5/3

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

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

x = - \frac{5}{3}

Decimal Notation

x = - 1.66666 \dots

Solution steps

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

Cross multiply

x + 3 = 4 x + 8

Move

3

to the right side

x = 4 x + 5

Move

4 x

to the left side

- 3 x = 5

Divide both sides by

- 3

x = - \frac{5}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = - 3

Combine undefined points with solutions:

x = - \frac{5}{3}

\frac{8}{x} = \frac{6}{7 - x}

\frac{6}{n - 8} = \frac{7}{6}

\frac{5 ( - x + 4 )}{x ^{3}} = 0

\frac{2 x}{5} + \frac{4}{3 x} = 0

\frac{( c + 1 )}{2 c - 2} = \frac{1}{2}

What is the answer to 1/(x+2)= 4/(x+3) ?
The answer to 1/(x+2)= 4/(x+3) is x=-5/3
Solve for x: 1/(x+2)= 4/(x+3)
The solution is x=-5/3