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

The answer to -x/(2x-3)= 2/(5x+3) is x=-2,x= 3/5

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

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

x = - 2, x = \frac{3}{5}

Decimal Notation

x = - 2, x = 0.6

Solution steps

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

Cross multiply

- x (5 x + 3) = (2 x - 3) \cdot 2

Solve

- x (5 x + 3) = (2 x - 3) \cdot 2 : x = - 2, x = \frac{3}{5}

x = - 2, x = \frac{3}{5}

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{2}, x = - \frac{3}{5}

Combine undefined points with solutions:

x = - 2, x = \frac{3}{5}

\frac{9}{5} = \frac{1000}{x}

\frac{x}{0.12 + x} = \frac{1}{3}

\frac{3}{36.89} = \frac{4}{x}

\frac{x}{x + 1} = \frac{1}{4}

\frac{6}{3 x} + \frac{10}{3 x} = 256

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