What is the answer to 1/(x-3)=(x+2)/(7x+14) ?

The answer to 1/(x-3)=(x+2)/(7x+14) is x=10

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1/(x-3)=(x+2)/(7x+14)

\frac{1}{x - 3} = \frac{x + 2}{7 x + 14}

x = 10

Solution steps

\frac{1}{x - 3} = \frac{x + 2}{7 x + 14}

Cross multiply

7 = x - 3

Switch sides

x - 3 = 7

Move

3

to the right side

x = 10

Verify Solutions

Find undefined (singularity) points:

x = 3, x = - 2

Combine undefined points with solutions:

x = 10

\frac{8}{3 x - 2} = \frac{2}{x - 1}

\frac{5}{x + 5} - 9 = \frac{x}{x + 5}

- 5 - \frac{6}{x + 6} = \frac{x}{x + 6}

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

- 1 + \frac{3 x}{x - 5} = \frac{1}{x - 5}

What is the answer to 1/(x-3)=(x+2)/(7x+14) ?
The answer to 1/(x-3)=(x+2)/(7x+14) is x=10
Solve for x: 1/(x-3)=(x+2)/(7x+14)
The solution is x=10