What is the answer to (2x-3)/(4x-5)=6 ?

The answer to (2x-3)/(4x-5)=6 is x= 27/22

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(2x-3)/(4x-5)=6

\frac{2 x - 3}{4 x - 5} = 6

x = \frac{27}{22}

Decimal Notation

x = 1.22727 \dots

Solution steps

\frac{2 x - 3}{4 x - 5} = 6

Multiply both sides by

4 x - 5

2 x - 3 = 6 (4 x - 5)

Expand

6 (4 x - 5) : 24 x - 30

2 x - 3 = 24 x - 30

Move

3

to the right side

2 x = 24 x - 27

Move

24 x

to the left side

- 22 x = - 27

Divide both sides by

- 22

x = \frac{27}{22}

Verify Solutions

Find undefined (singularity) points:

x = \frac{5}{4}

Combine undefined points with solutions:

x = \frac{27}{22}

\frac{x - 3}{x - 7} = \frac{5}{6}

\frac{2 x + 1}{3} = \frac{4}{3 x - 2}

\frac{x - 5}{x + 8} = \frac{3}{8}

0.2 = \frac{x ^{2}}{25 - x}

L, A = \frac{r}{2 L}

What is the answer to (2x-3)/(4x-5)=6 ?
The answer to (2x-3)/(4x-5)=6 is x= 27/22
Solve for x: (2x-3)/(4x-5)=6
The solution is x= 27/22