What is the answer to (2x+3)/(-5)= 1/(x-2) ?

The answer to (2x+3)/(-5)= 1/(x-2) is x=-1/2 ,x=1

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(2x+3)/(-5)= 1/(x-2)

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

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

Decimal Notation

x = - 0.5, x = 1

Solution steps

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

Cross multiply

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

Solve

- (2 x + 3) (x - 2) = 5 : x = - \frac{1}{2}, x = 1

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

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

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

2 = \frac{1}{2 m}

\frac{x - 3}{6 x} = \frac{x + 2}{5 x}

\frac{10}{9 a} = 8

n, p = \frac{n + k}{n - 1}

\frac{1}{e ^{2}} = e^{- 2}

What is the answer to (2x+3)/(-5)= 1/(x-2) ?
The answer to (2x+3)/(-5)= 1/(x-2) is x=-1/2 ,x=1
Solve for x: (2x+3)/(-5)= 1/(x-2)
The solution is x=-1/2 ,x=1