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

The answer to (4(x-2))/(x-3)=3 is x=-1

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

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

x = - 1

Solution steps

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

Multiply both sides by

x - 3

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

Expand

4 (x - 2) : 4 x - 8

Expand

3 (x - 3) : 3 x - 9

4 x - 8 = 3 x - 9

Move

8

to the right side

4 x = 3 x - 1

Move

3 x

to the left side

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = - 1

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

\frac{x}{2 x - 4} - 7 = \frac{1}{x - 2}

5 x = \frac{5}{x}

9 + \frac{x}{x + 8} = - \frac{8}{x + 8}

\frac{4}{x} = \frac{9}{5}