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

The answer to 5/(x-1)= 3/(2x+3) is x=-18/7

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

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

x = - \frac{18}{7}

Decimal Notation

x = - 2.57142 \dots

Solution steps

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

Cross multiply

10 x + 15 = 3 x - 3

Move

15

to the right side

10 x = 3 x - 18

Move

3 x

to the left side

7 x = - 18

Divide both sides by

7

x = - \frac{18}{7}

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - \frac{3}{2}

Combine undefined points with solutions:

x = - \frac{18}{7}

k^{3} + 3 = \frac{16}{k ^{2} - 3}

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

\frac{3 x + 1}{( 3 x + 1 ) ^{2} + 25} = 0

- \frac{1}{3} = \frac{1}{1 + c}

\frac{20}{x - 1} = \frac{25}{x}

What is the answer to 5/(x-1)= 3/(2x+3) ?
The answer to 5/(x-1)= 3/(2x+3) is x=-18/7
Solve for x: 5/(x-1)= 3/(2x+3)
The solution is x=-18/7