What is the answer to (4x+3)/(1-2x)= 3/8 ?

The answer to (4x+3)/(1-2x)= 3/8 is x=-21/38

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(4x+3)/(1-2x)= 3/8

\frac{4 x + 3}{1 - 2 x} = \frac{3}{8}

x = - \frac{21}{38}

Decimal Notation

x = - 0.55263 \dots

Solution steps

\frac{4 x + 3}{1 - 2 x} = \frac{3}{8}

Cross multiply

32 x + 24 = 3 - 6 x

Move

24

to the right side

32 x = - 6 x - 21

Move

6 x

to the left side

38 x = - 21

Divide both sides by

38

x = - \frac{21}{38}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{2}

Combine undefined points with solutions:

x = - \frac{21}{38}

2 - \frac{1}{x} = 0

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

- x^{- 2} = 0

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

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

What is the answer to (4x+3)/(1-2x)= 3/8 ?
The answer to (4x+3)/(1-2x)= 3/8 is x=-21/38
Solve for x: (4x+3)/(1-2x)= 3/8
The solution is x=-21/38