What is the answer to ((3x+2)/(x-4))=5 ?

The answer to ((3x+2)/(x-4))=5 is x=11

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((3x+2)/(x-4))=5

(\frac{3 x + 2}{x - 4}) = 5

x = 11

Solution steps

(\frac{3 x + 2}{x - 4}) = 5

Simplify

(\frac{3 x + 2}{x - 4}) : \frac{3 x + 2}{x - 4}

\frac{3 x + 2}{x - 4} = 5

Multiply both sides by

x - 4

3 x + 2 = 5 (x - 4)

Expand

5 (x - 4) : 5 x - 20

3 x + 2 = 5 x - 20

Move

2

to the right side

3 x = 5 x - 22

Move

5 x

to the left side

- 2 x = - 22

Divide both sides by

- 2

x = 11

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = 11

\frac{1}{x} + 5 = 2

S, B = \frac{F}{S - V}

\frac{555}{x - 300} = 10

\frac{27}{x} = 9

y, \frac{y - a}{y - b} = x