What is the answer to 7/(x+1)-1/2 = 4/(3x+3) ?

The answer to 7/(x+1)-1/2 = 4/(3x+3) is x= 31/3

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

\frac{7}{x + 1} - \frac{1}{2} = \frac{4}{3 x + 3}

x = \frac{31}{3}

Decimal

x = 10.33333 \dots

Solution steps

\frac{7}{x + 1} - \frac{1}{2} = \frac{4}{3 x + 3}

Multiply by LCM

42 - 3 (x + 1) = 8

Move

42

to the right side

- 3 (x + 1) = - 34

Divide both sides by

- 3

x + 1 = \frac{34}{3}

Move

1

to the right side

x = \frac{31}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = \frac{31}{3}

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

\frac{1}{x + 6} + \frac{12}{x ^{2} - 36} = 1

\frac{y}{4} = \frac{9}{y}

\frac{b}{a x - 1} - \frac{a}{b x - 1} = 0

6 (1 - x^{2})^{- 1} + 3 (1 - x)^{- 1} = 5 (x + 1)^{- 1}

What is the answer to 7/(x+1)-1/2 = 4/(3x+3) ?
The answer to 7/(x+1)-1/2 = 4/(3x+3) is x= 31/3
Solve for x: 7/(x+1)-1/2 = 4/(3x+3)
The solution is x= 31/3