What is the answer to -(4x)/(x+7)+3= 6/(x+7) ?

The answer to -(4x)/(x+7)+3= 6/(x+7) is x=15

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-(4x)/(x+7)+3= 6/(x+7)

- \frac{4 x}{x + 7} + 3 = \frac{6}{x + 7}

x = 15

Solution steps

- \frac{4 x}{x + 7} + 3 = \frac{6}{x + 7}

Multiply both sides by

x + 7

- 4 x + 3 (x + 7) = 6

Expand

3 (x + 7) : 3 x + 21

- 4 x + 3 x + 21 = 6

Add similar elements:

- 4 x + 3 x = - x

- x + 21 = 6

Move

21

to the right side

- x = - 15

Divide both sides by

- 1

x = 15

Verify Solutions

Find undefined (singularity) points:

x = - 7

Combine undefined points with solutions:

x = 15

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

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

\frac{2 x}{x ^{2} - 25} + \frac{4 - x}{x - 5} = 0

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

\frac{100 - x}{x - 91} = \frac{17}{1}

What is the answer to -(4x)/(x+7)+3= 6/(x+7) ?
The answer to -(4x)/(x+7)+3= 6/(x+7) is x=15
Solve for x: -(4x)/(x+7)+3= 6/(x+7)
The solution is x=15