What is the answer to (3x+8)/(2x-3)=4 ?

The answer to (3x+8)/(2x-3)=4 is x=4

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(3x+8)/(2x-3)=4

\frac{3 x + 8}{2 x - 3} = 4

x = 4

Solution steps

\frac{3 x + 8}{2 x - 3} = 4

Multiply both sides by

2 x - 3

3 x + 8 = 4 (2 x - 3)

Expand

4 (2 x - 3) : 8 x - 12

3 x + 8 = 8 x - 12

Move

8

to the right side

3 x = 8 x - 20

Move

8 x

to the left side

- 5 x = - 20

Divide both sides by

- 5

x = 4

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{2}

Combine undefined points with solutions:

x = 4

\frac{3}{x} = 12

4^{- 6} = x^{- 6}

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

\frac{78}{v} = 6

256 x^{- 3} = 4