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

The answer to (3x+2)/(x-2)=5 is x=6

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(3x+2)/(x-2)=5

\frac{3 x + 2}{x - 2} = 5

x = 6

Solution steps

\frac{3 x + 2}{x - 2} = 5

Multiply both sides by

x - 2

3 x + 2 = 5 (x - 2)

Expand

5 (x - 2) : 5 x - 10

3 x + 2 = 5 x - 10

Move

2

to the right side

3 x = 5 x - 12

Move

5 x

to the left side

- 2 x = - 12

Divide both sides by

- 2

x = 6

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 6

x, t + \frac{a}{k x + t} = 0

y, x = \frac{( y + 1 )}{y}

\frac{12 ( 1000 )}{1000 + x} = 1.96

\frac{8}{3 x + 4} - \frac{1}{x - 4} = 0

\frac{5}{x + 2} + \frac{9}{x - 2} = 2