What is the answer to 5/(3x+2)+3/(2-4x)=0 ?

The answer to 5/(3x+2)+3/(2-4x)=0 is x= 16/11

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5/(3x+2)+3/(2-4x)=0

\frac{5}{3 x + 2} + \frac{3}{2 - 4 x} = 0

x = \frac{16}{11}

Decimal Notation

x = 1.45454 \dots

Solution steps

\frac{5}{3 x + 2} + \frac{3}{2 - 4 x} = 0

Multiply by LCM

11 x - 16 = 0

Move

16

to the right side

11 x = 16

Divide both sides by

11

x = \frac{16}{11}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = \frac{16}{11}

x - \frac{6}{x} = - 1

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

\frac{x}{7 - 2 x} = 6

\frac{10}{x} - \frac{12}{x - 3} + 4 = 0

\frac{1}{x + 2} + \frac{24}{x + 3} = 13

What is the answer to 5/(3x+2)+3/(2-4x)=0 ?
The answer to 5/(3x+2)+3/(2-4x)=0 is x= 16/11
Solve for x: 5/(3x+2)+3/(2-4x)=0
The solution is x= 16/11