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

The answer to 3/(x+1)-1/2 = 1/(3x+3) is x= 13/3

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

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

x = \frac{13}{3}

Decimal Notation

x = 4.33333 \dots

Solution steps

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

Multiply by LCM

18 - 3 (x + 1) = 2

Move

18

to the right side

- 3 (x + 1) = - 16

Divide both sides by

- 3

x + 1 = \frac{16}{3}

Move

1

to the right side

x = \frac{13}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = \frac{13}{3}

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

\frac{7}{3 x} - \frac{13}{4 x} = 1

q, 2 q + 380 = q + 380 + \frac{2500}{q}

y, z = \frac{1}{y - g}

\frac{5}{3 x + 2} + \frac{3}{2 - 4 x} = 0

What is the answer to 3/(x+1)-1/2 = 1/(3x+3) ?
The answer to 3/(x+1)-1/2 = 1/(3x+3) is x= 13/3
Solve for x: 3/(x+1)-1/2 = 1/(3x+3)
The solution is x= 13/3