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

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

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

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

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

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

Cross multiply

24 x + 8 = 2 x - 3

Move

8

to the right side

24 x = 2 x - 11

Move

2 x

to the left side

22 x = - 11

Divide both sides by

22

x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{2}

Combine undefined points with solutions:

x = - \frac{1}{2}

1 = \frac{16 x ^{2}}{x ^{4} + 64}

\frac{x}{9 x ^{2} - 4} = 0

\frac{x}{a} - \frac{a}{x} = x - a

\frac{17}{2} = \frac{34}{x}

\frac{1}{x + y} = 0

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