What is the answer to 6/(x+1)-1/4 = 1/(3x+3) ?

The answer to 6/(x+1)-1/4 = 1/(3x+3) is x= 65/3

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6/(x+1)-1/4 = 1/(3x+3)

\frac{6}{x + 1} - \frac{1}{4} = \frac{1}{3 x + 3}

x = \frac{65}{3}

Decimal Notation

x = 21.66666 \dots

Solution steps

\frac{6}{x + 1} - \frac{1}{4} = \frac{1}{3 x + 3}

Multiply by LCM

72 - 3 (x + 1) = 4

Move

72

to the right side

- 3 (x + 1) = - 68

Divide both sides by

- 3

x + 1 = \frac{68}{3}

Move

1

to the right side

x = \frac{65}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = \frac{65}{3}

\frac{1}{x - 5} + \frac{3}{8} = \frac{6}{7}

\frac{1440300}{( x + 2256 )} = 12

y, \frac{3}{2 x y} = \frac{1}{x ^{2}}

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

y, \frac{x}{( y + x )} = \frac{1}{5}

What is the answer to 6/(x+1)-1/4 = 1/(3x+3) ?
The answer to 6/(x+1)-1/4 = 1/(3x+3) is x= 65/3
Solve for x: 6/(x+1)-1/4 = 1/(3x+3)
The solution is x= 65/3