What is the answer to 7/(x-4)-6/(x-2)=2 ?

The answer to 7/(x-4)-6/(x-2)=2 is x=6,x= 1/2

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7/(x-4)-6/(x-2)=2

\frac{7}{x - 4} - \frac{6}{x - 2} = 2

x = 6, x = \frac{1}{2}

Decimal Notation

x = 6, x = 0.5

Solution steps

\frac{7}{x - 4} - \frac{6}{x - 2} = 2

Multiply by LCM

7 (x - 2) - 6 (x - 4) = 2 (x - 4) (x - 2)

Solve

7 (x - 2) - 6 (x - 4) = 2 (x - 4) (x - 2) : x = 6, x = \frac{1}{2}

x = 6, x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 4, x = 2

Combine undefined points with solutions:

x = 6, x = \frac{1}{2}

\frac{x ^{2} + 3 x - 18}{6 x} = \frac{2 - 3 x}{3}

t, y = \frac{t - a}{t + 3}

2 x - \frac{1}{x} - 1 = 0

y, \frac{3}{3 x + y} = 1

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

What is the answer to 7/(x-4)-6/(x-2)=2 ?
The answer to 7/(x-4)-6/(x-2)=2 is x=6,x= 1/2
Solve for x: 7/(x-4)-6/(x-2)=2
The solution is x=6,x= 1/2