What is the answer to (4x-9)/(x-3)=2 ?

The answer to (4x-9)/(x-3)=2 is x= 3/2

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(4x-9)/(x-3)=2

\frac{4 x - 9}{x - 3} = 2

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

\frac{4 x - 9}{x - 3} = 2

Multiply both sides by

x - 3

4 x - 9 = 2 (x - 3)

Expand

2 (x - 3) : 2 x - 6

4 x - 9 = 2 x - 6

Move

9

to the right side

4 x = 2 x + 3

Move

2 x

to the left side

2 x = 3

Divide both sides by

2

x = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{3}{2}

\frac{3 x}{2} = \frac{18}{x} + 6

z^{5} + 8 z^{- 1} = 0

\frac{11}{b - 1} = \frac{6}{b + 1}

\frac{5}{x - 5} = \frac{x}{x - 5} - 1

x = \frac{2}{x}