What is the answer to (2a-3)/(4a-5)= 2/5 ?

The answer to (2a-3)/(4a-5)= 2/5 is a= 5/2

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(2a-3)/(4a-5)= 2/5

\frac{2 a - 3}{4 a - 5} = \frac{2}{5}

a = \frac{5}{2}

Decimal Notation

a = 2.5

Solution steps

\frac{2 a - 3}{4 a - 5} = \frac{2}{5}

Cross multiply

10 a - 15 = 8 a - 10

Move

15

to the right side

10 a = 8 a + 5

Move

8 a

to the left side

2 a = 5

Divide both sides by

2

a = \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

a = \frac{5}{4}

Combine undefined points with solutions:

a = \frac{5}{2}

\frac{5 x - 8}{x - 1} = \frac{7 x - 4}{x + 2}

x - \frac{4 x + 8}{16 x} = \frac{1}{4 x}

\frac{2 x + 6}{x - 5} = \frac{x + 3}{x - 1}

\frac{4}{x + 1} - \frac{x}{x + 1} = 2

\frac{x}{x + 2} + \frac{6}{x + 4} = 1

What is the answer to (2a-3)/(4a-5)= 2/5 ?
The answer to (2a-3)/(4a-5)= 2/5 is a= 5/2
Solve for a: (2a-3)/(4a-5)= 2/5
The solution is a= 5/2