What is the answer to x+(4x)/(x-3)=(12)/(x-3) ?

The answer to x+(4x)/(x-3)=(12)/(x-3) is x=-4

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x+(4x)/(x-3)=(12)/(x-3)

x + \frac{4 x}{x - 3} = \frac{12}{x - 3}

x = - 4

Solution steps

x + \frac{4 x}{x - 3} = \frac{12}{x - 3}

Multiply both sides by

x - 3

x (x - 3) + 4 x = 12

Solve

x (x - 3) + 4 x = 12 : x = 3, x = - 4

x = 3, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 3

Since the equation is undefined for:

3

x = - 4

\frac{1}{x ^{2}} - \frac{1}{( x + 1 ) ^{2}} = 1

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

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

\frac{x + 1}{1 - 2 x} = \frac{5}{- 7}

- \frac{9}{x + 9} - 1 = \frac{5 x}{x + 9}

What is the answer to x+(4x)/(x-3)=(12)/(x-3) ?
The answer to x+(4x)/(x-3)=(12)/(x-3) is x=-4
Solve for x: x+(4x)/(x-3)=(12)/(x-3)
The solution is x=-4