What is the answer to 4= 6/(2x-3) ?

The answer to 4= 6/(2x-3) is x= 9/4

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4= 6/(2x-3)

4 = \frac{6}{2 x - 3}

x = \frac{9}{4}

Decimal Notation

x = 2.25

Solution steps

4 = \frac{6}{2 x - 3}

Multiply both sides by

2 x - 3

4 (2 x - 3) = 6

Divide both sides by

4

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

Move

3

to the right side

2 x = \frac{9}{2}

Divide both sides by

2

x = \frac{9}{4}

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{2}

Combine undefined points with solutions:

x = \frac{9}{4}

\frac{3}{4 x} = 6

x, \frac{3 yz}{2 x} - 6 = p

\frac{1}{x ^{3}} = x^{- 3}

\frac{- 180}{x ^{2}} + 40 x = 0

\frac{x}{8} = \frac{10}{x}