What is the answer to 6= 3/(2x-2.5) ?

The answer to 6= 3/(2x-2.5) is x= 3/2

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6= 3/(2x-2.5)

6 = \frac{3}{2 x - 2.5}

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

6 = \frac{3}{2 x - 2.5}

Multiply both sides by

2 x - 2.5

6 (2 x - 2.5) = 3

Divide both sides by

6

2 x - 2.5 = \frac{1}{2}

Move

2.5

to the right side

2 x = 3

Divide both sides by

2

x = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 1.25

Combine undefined points with solutions:

x = \frac{3}{2}

\frac{5}{x + 1} - \frac{2}{x + 3} = 2

\frac{0.392}{x} = 0.7

x + \frac{5}{( x - 1 )} = 2

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

\frac{3}{x} = \frac{1 + ( x - 13 )}{6}