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

The answer to 3/(2x+1)=-1/(4-3x) is x= 13/7

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

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

x = \frac{13}{7}

Decimal Notation

x = 1.85714 \dots

Solution steps

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

Cross multiply

12 - 9 x = - 2 x - 1

Move

12

to the right side

- 9 x = - 2 x - 13

Move

2 x

to the left side

- 7 x = - 13

Divide both sides by

- 7

x = \frac{13}{7}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = \frac{13}{7}

6 + \frac{7}{y - 1} = \frac{2}{y + 2}

\frac{4}{y - 2} = - 9 - \frac{2}{y - 1}

0.0893 = \frac{1}{t}

A, \frac{A + B}{A} = B

\frac{9 - x ^{2}}{x ^{2} + 3 x} = 1

What is the answer to 3/(2x+1)=-1/(4-3x) ?
The answer to 3/(2x+1)=-1/(4-3x) is x= 13/7
Solve for x: 3/(2x+1)=-1/(4-3x)
The solution is x= 13/7