What is the answer to (3+4x)/(2x+9)=-2/5 ?

The answer to (3+4x)/(2x+9)=-2/5 is x=-11/8

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(3+4x)/(2x+9)=-2/5

\frac{3 + 4 x}{2 x + 9} = - \frac{2}{5}

x = - \frac{11}{8}

Decimal Notation

x = - 1.375

Solution steps

\frac{3 + 4 x}{2 x + 9} = - \frac{2}{5}

Cross multiply

15 + 20 x = - 4 x - 18

Move

15

to the right side

20 x = - 4 x - 33

Move

4 x

to the left side

24 x = - 33

Divide both sides by

24

x = - \frac{11}{8}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{9}{2}

Combine undefined points with solutions:

x = - \frac{11}{8}

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

8 + (\frac{1}{x} - 2) = 16

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

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

\frac{7}{x - 3} = 0

What is the answer to (3+4x)/(2x+9)=-2/5 ?
The answer to (3+4x)/(2x+9)=-2/5 is x=-11/8
Solve for x: (3+4x)/(2x+9)=-2/5
The solution is x=-11/8