What is the answer to x/(x-6)=(x-2)/(x+6) ?

The answer to x/(x-6)=(x-2)/(x+6) is x= 6/7

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x/(x-6)=(x-2)/(x+6)

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

x = \frac{6}{7}

Decimal Notation

x = 0.85714 \dots

Solution steps

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

Cross multiply

x^{2} + 6 x = x^{2} - 8 x + 12

Subtract

x^{2} - 8 x

from both sides

x^{2} + 6 x - (x^{2} - 8 x) = x^{2} - 8 x + 12 - (x^{2} - 8 x)

Simplify

14 x = 12

Divide both sides by

14

x = \frac{6}{7}

Verify Solutions

Find undefined (singularity) points:

x = 6, x = - 6

Combine undefined points with solutions:

x = \frac{6}{7}

\frac{36}{x} = \frac{42}{28}

\frac{45}{x + 3} = \frac{20}{10 - x}

100 = \frac{1600}{( 1 + r ) ^{2}}

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

2 = \frac{4}{3} - \frac{5}{z}

What is the answer to x/(x-6)=(x-2)/(x+6) ?
The answer to x/(x-6)=(x-2)/(x+6) is x= 6/7
Solve for x: x/(x-6)=(x-2)/(x+6)
The solution is x= 6/7