What is the answer to 4/(x+1)-3/2 = 6/(3x+3) ?

The answer to 4/(x+1)-3/2 = 6/(3x+3) is x= 1/3

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4/(x+1)-3/2 = 6/(3x+3)

\frac{4}{x + 1} - \frac{3}{2} = \frac{6}{3 x + 3}

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

\frac{4}{x + 1} - \frac{3}{2} = \frac{6}{3 x + 3}

Multiply by LCM

8 - 3 (x + 1) = 4

Move

8

to the right side

- 3 (x + 1) = - 4

Divide both sides by

- 3

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

Move

1

to the right side

x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = \frac{1}{3}

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

\frac{3}{6} = \frac{11}{a}

\frac{x + 2}{x + 3} + 1 = \frac{- 7}{x - 5}

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

\frac{4}{x + 7} = \frac{6}{x}

What is the answer to 4/(x+1)-3/2 = 6/(3x+3) ?
The answer to 4/(x+1)-3/2 = 6/(3x+3) is x= 1/3
Solve for x: 4/(x+1)-3/2 = 6/(3x+3)
The solution is x= 1/3