What is the answer to 10+(3x)/(x-4)=(5x)/(x-4) ?

The answer to 10+(3x)/(x-4)=(5x)/(x-4) is x=5

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10+(3x)/(x-4)=(5x)/(x-4)

10 + \frac{3 x}{x - 4} = \frac{5 x}{x - 4}

x = 5

Solution steps

10 + \frac{3 x}{x - 4} = \frac{5 x}{x - 4}

Multiply both sides by

x - 4

10 (x - 4) + 3 x = 5 x

Expand

10 (x - 4) + 3 x : 13 x - 40

13 x - 40 = 5 x

Move

40

to the right side

13 x = 5 x + 40

Move

5 x

to the left side

8 x = 40

Divide both sides by

8

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = 5

\frac{x - 3}{x ^{2} - 9} + \frac{x + 1}{x + 3} = x + 2

\frac{2}{x} = \frac{4}{10}

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

y, y - \frac{1}{x} = 11

\frac{12}{x + 5} = - \frac{12}{5}

What is the answer to 10+(3x)/(x-4)=(5x)/(x-4) ?
The answer to 10+(3x)/(x-4)=(5x)/(x-4) is x=5
Solve for x: 10+(3x)/(x-4)=(5x)/(x-4)
The solution is x=5