What is the answer to (3x+2)/(x-2)=1 ?

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

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(3x+2)/(x-2)=1

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

x = - 2

Solution steps

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

Multiply both sides by

x - 2

3 x + 2 = x - 2

Move

2

to the right side

3 x = x - 4

Move

x

to the left side

2 x = - 4

Divide both sides by

2

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = - 2

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

\frac{1}{x + 1} + 3 = \frac{10}{x + 1}

\frac{x + 2}{4} + \frac{3}{x - 1} = 7

3 + \frac{10}{x} = \frac{1}{2}

x - 2 - \frac{( x - 2 ) ( x - 1 )}{x - 1} = 0