What is the answer to 2/(x+1)-1/3 = 1/(4x+4) ?

The answer to 2/(x+1)-1/3 = 1/(4x+4) is x= 17/4

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

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

x = \frac{17}{4}

Decimal Notation

x = 4.25

Solution steps

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

Multiply by LCM

24 - 4 (x + 1) = 3

Move

24

to the right side

- 4 (x + 1) = - 21

Divide both sides by

- 4

x + 1 = \frac{21}{4}

Move

1

to the right side

x = \frac{17}{4}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = \frac{17}{4}

\frac{2 x + 7}{5 - x} = \frac{8}{3}

\frac{s ^{6} - n ^{9}}{s ^{6} - n ^{6}}

0 = \frac{2}{x ^{3}}

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

\frac{20}{x} = 9 - x

What is the answer to 2/(x+1)-1/3 = 1/(4x+4) ?
The answer to 2/(x+1)-1/3 = 1/(4x+4) is x= 17/4
Solve for x: 2/(x+1)-1/3 = 1/(4x+4)
The solution is x= 17/4