What is the answer to 9/(x+1)-5/2 = 4/(3x+3) ?

The answer to 9/(x+1)-5/2 = 4/(3x+3) is x= 31/15

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9/(x+1)-5/2 = 4/(3x+3)

\frac{9}{x + 1} - \frac{5}{2} = \frac{4}{3 x + 3}

x = \frac{31}{15}

Decimal Notation

x = 2.06666 \dots

Solution steps

\frac{9}{x + 1} - \frac{5}{2} = \frac{4}{3 x + 3}

Multiply by LCM

54 - 15 (x + 1) = 8

Move

54

to the right side

- 15 (x + 1) = - 46

Divide both sides by

- 15

x + 1 = \frac{46}{15}

Move

1

to the right side

x = \frac{31}{15}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = \frac{31}{15}

\frac{2 x - 3}{x + 1} = \frac{x + 6}{x - 2}

\frac{6 x - 1}{x + 5} - \frac{1}{6 x} = 6

\frac{1}{y - 2} = \frac{2 y + 1}{y ^{2} - 4}

\frac{15 - 2 x - x ^{2}}{x - 4} = 0

\frac{3 z - 6}{7 - 2 z} = \frac{1.2}{3.2}

What is the answer to 9/(x+1)-5/2 = 4/(3x+3) ?
The answer to 9/(x+1)-5/2 = 4/(3x+3) is x= 31/15
Solve for x: 9/(x+1)-5/2 = 4/(3x+3)
The solution is x= 31/15