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

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

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

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

x = \frac{18}{5}

Decimal Notation

x = 3.6

Solution steps

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

Cross multiply

10 x + 15 = 15 x - 3

Move

15

to the right side

10 x = 15 x - 18

Move

15 x

to the left side

- 5 x = - 18

Divide both sides by

- 5

x = \frac{18}{5}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{5}

Combine undefined points with solutions:

x = \frac{18}{5}

\frac{x ^{2} + 2}{x ^{2}} = 0

\frac{4 + 1}{( x - 1 )} = 8

\frac{( 74 x )}{( 8 x + 3 )} = 4

y, x = \frac{9 y}{y - 4}

\frac{8}{x + 1} = - 2

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