What is the answer to (5x+8)/(3x+4)=(5x+2)/(3x-4) ?

The answer to (5x+8)/(3x+4)=(5x+2)/(3x-4) is x=-20/11

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(5x+8)/(3x+4)=(5x+2)/(3x-4)

\frac{5 x + 8}{3 x + 4} = \frac{5 x + 2}{3 x - 4}

x = - \frac{20}{11}

Decimal Notation

x = - 1.81818 \dots

Solution steps

\frac{5 x + 8}{3 x + 4} = \frac{5 x + 2}{3 x - 4}

Cross multiply

15 x^{2} + 4 x - 32 = 15 x^{2} + 26 x + 8

Move

32

to the right side

15 x^{2} + 4 x = 15 x^{2} + 26 x + 40

Subtract

15 x^{2} + 26 x

from both sides

15 x^{2} + 4 x - (15 x^{2} + 26 x) = 15 x^{2} + 26 x + 40 - (15 x^{2} + 26 x)

Simplify

- 22 x = 40

Divide both sides by

- 22

x = - \frac{20}{11}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = - \frac{20}{11}

\frac{x}{x - 1} + \frac{3}{x} = \frac{5}{2 x}

\frac{2 x}{2 x + 1} = \frac{5}{4 - x}

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

y, y^{- 4} = z

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

What is the answer to (5x+8)/(3x+4)=(5x+2)/(3x-4) ?
The answer to (5x+8)/(3x+4)=(5x+2)/(3x-4) is x=-20/11
Solve for x: (5x+8)/(3x+4)=(5x+2)/(3x-4)
The solution is x=-20/11