What is the answer to 4/(x+1)-6=(4x)/(x+1) ?

The answer to 4/(x+1)-6=(4x)/(x+1) is x=-1/5

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4/(x+1)-6=(4x)/(x+1)

\frac{4}{x + 1} - 6 = \frac{4 x}{x + 1}

x = - \frac{1}{5}

Decimal Notation

x = - 0.2

Solution steps

\frac{4}{x + 1} - 6 = \frac{4 x}{x + 1}

Multiply both sides by

x + 1

4 - 6 (x + 1) = 4 x

Expand

4 - 6 (x + 1) : - 6 x - 2

- 6 x - 2 = 4 x

Move

2

to the right side

- 6 x = 4 x + 2

Move

4 x

to the left side

- 10 x = 2

Divide both sides by

- 10

x = - \frac{1}{5}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = - \frac{1}{5}

\frac{4}{x - 4} = \frac{6}{x - 9}

\frac{6}{x} + 16 = \frac{2}{3 x}

\frac{1}{x} + \frac{8}{x - 2} = 0

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

\frac{3}{x + 1} = \frac{5}{x + 3}

What is the answer to 4/(x+1)-6=(4x)/(x+1) ?
The answer to 4/(x+1)-6=(4x)/(x+1) is x=-1/5
Solve for x: 4/(x+1)-6=(4x)/(x+1)
The solution is x=-1/5