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

The answer to x/(x-2)=(x+3)/(x+2) is x=-6

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x/(x-2)=(x+3)/(x+2)

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

x = - 6

Solution steps

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

Cross multiply

x^{2} + 2 x = x^{2} + x - 6

Subtract

x^{2} + x

from both sides

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

Simplify

x = - 6

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 2

Combine undefined points with solutions:

x = - 6

0.05 = (\frac{2}{x})^{5}

x, y = 4 - \frac{1}{x}

4 = \frac{t}{- t + 12}

3 = \frac{3}{x}

- k^{2} + 3 k - \frac{2}{k} = 1

What is the answer to x/(x-2)=(x+3)/(x+2) ?
The answer to x/(x-2)=(x+3)/(x+2) is x=-6
Solve for x: x/(x-2)=(x+3)/(x+2)
The solution is x=-6