What is the answer to x/(x+3)=(x+3)/(x+7) ?

The answer to x/(x+3)=(x+3)/(x+7) is x=9

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x/(x+3)=(x+3)/(x+7)

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

x = 9

Solution steps

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

Cross multiply

x^{2} + 7 x = x^{2} + 6 x + 9

Subtract

x^{2} + 6 x

from both sides

x^{2} + 7 x - (x^{2} + 6 x) = x^{2} + 6 x + 9 - (x^{2} + 6 x)

Simplify

x = 9

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = - 7

Combine undefined points with solutions:

x = 9

\frac{108}{x} + 25 = 30

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

\frac{n}{4} = \frac{24}{n}

\frac{1}{3} = \frac{1}{9 y}

\frac{10}{x} = - 2

What is the answer to x/(x+3)=(x+3)/(x+7) ?
The answer to x/(x+3)=(x+3)/(x+7) is x=9
Solve for x: x/(x+3)=(x+3)/(x+7)
The solution is x=9