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

The answer to x-7/(x-3)=(3x)/(x-3) is x=7,x=-1

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x-7/(x-3)=(3x)/(x-3)

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

x = 7, x = - 1

Solution steps

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

Multiply both sides by

x - 3

x (x - 3) - 7 = 3 x

Solve

x (x - 3) - 7 = 3 x : x = 7, x = - 1

x = 7, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = 7, x = - 1

\frac{3}{x} - \frac{2}{x + 1} = \frac{4}{x}

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

\frac{x}{x + 1} + 6 = \frac{1}{x ^{2} + x}

9 x + 1 = \frac{8}{x}

\frac{2 x}{x - 2} = 9 + \frac{25 x ^{2}}{x - 2}

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