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

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

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

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

x = - \frac{1}{2}

Solution steps

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

Cross multiply

6 x + 9 = 4 - 4 x

Move

9

to the right side

6 x = - 4 x - 5

Move

4 x

to the left side

10 x = - 5

Divide both sides by

10

x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = - \frac{1}{2}

\frac{x + 3}{9} - \frac{6 - x}{x} = 1

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

\frac{8}{x} = 160

\frac{5}{x + 3} = \frac{4}{x}

x + x^{- 1} = 4

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