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

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

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

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

x = 2

Solution steps

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

Multiply both sides by

3 - x

3 x - 4 = 2 (3 - x)

Expand

2 (3 - x) : 6 - 2 x

3 x - 4 = 6 - 2 x

Move

4

to the right side

3 x = - 2 x + 10

Move

2 x

to the left side

5 x = 10

Divide both sides by

5

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = 2

6 x^{- 2} + x^{- 1} = 1

\frac{( x - 3 ) ^{2}}{x ^{2} - 5 x} = 1

\frac{x}{x - 2} + \frac{4}{x - 2} = 10

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

\frac{x - 7}{3 x} + 1 = \frac{x + 5}{x}