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

The answer to 5/(x+2)= 3/(x-1) is x= 11/2

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

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

x = \frac{11}{2}

Decimal Notation

x = 5.5

Solution steps

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

Cross multiply

5 x - 5 = 3 x + 6

Move

5

to the right side

5 x = 3 x + 11

Move

3 x

to the left side

2 x = 11

Divide both sides by

2

x = \frac{11}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 1

Combine undefined points with solutions:

x = \frac{11}{2}

\frac{4}{15 x} = \frac{x}{15}

\frac{4}{6} = \frac{8}{x - 1}

\frac{( 1 - 4 x ^{2} )}{( 1 - 2 x )} = 0

\frac{3}{x + 2} = \frac{5}{2 x - 7}

\frac{1}{x} - x = 0

What is the answer to 5/(x+2)= 3/(x-1) ?
The answer to 5/(x+2)= 3/(x-1) is x= 11/2
Solve for x: 5/(x+2)= 3/(x-1)
The solution is x= 11/2