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

The answer to 3/(5x-5)=(-4)/(3x+4) is x= 8/29

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

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

x = \frac{8}{29}

Decimal Notation

x = 0.27586 \dots

Solution steps

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

Cross multiply

9 x + 12 = - 20 x + 20

Move

12

to the right side

9 x = - 20 x + 8

Move

20 x

to the left side

29 x = 8

Divide both sides by

29

x = \frac{8}{29}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = \frac{8}{29}

4 x - \frac{256}{x ^{2}} = 0

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

y, x = \frac{2}{y + 1}

\frac{4}{2 + e ^{x}} = \frac{6}{3 + e ^{- x}}

\frac{5 v - 5}{v} - \frac{5 v + 15}{v} = 1

What is the answer to 3/(5x-5)=(-4)/(3x+4) ?
The answer to 3/(5x-5)=(-4)/(3x+4) is x= 8/29
Solve for x: 3/(5x-5)=(-4)/(3x+4)
The solution is x= 8/29