What is the answer to 2/(x+1)-1/4 = 1/(5x+5) ?

The answer to 2/(x+1)-1/4 = 1/(5x+5) is x= 31/5

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2/(x+1)-1/4 = 1/(5x+5)

\frac{2}{x + 1} - \frac{1}{4} = \frac{1}{5 x + 5}

x = \frac{31}{5}

Decimal Notation

x = 6.2

Solution steps

\frac{2}{x + 1} - \frac{1}{4} = \frac{1}{5 x + 5}

Multiply by LCM

40 - 5 (x + 1) = 4

Move

40

to the right side

- 5 (x + 1) = - 36

Divide both sides by

- 5

x + 1 = \frac{36}{5}

Move

1

to the right side

x = \frac{31}{5}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = \frac{31}{5}

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

3 x^{2} + \frac{12}{x ^{2}} - 15 = 0

\frac{x}{7} + \frac{21}{x + 5} = \frac{47}{7}

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

\frac{5}{x} - \frac{1}{2 x} = \frac{9}{x ^{2}}

What is the answer to 2/(x+1)-1/4 = 1/(5x+5) ?
The answer to 2/(x+1)-1/4 = 1/(5x+5) is x= 31/5
Solve for x: 2/(x+1)-1/4 = 1/(5x+5)
The solution is x= 31/5