What is the answer to -1=5+3/(x-2) ?

The answer to -1=5+3/(x-2) is x= 3/2

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-1=5+3/(x-2)

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

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

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

Move

5

to the left side

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

Multiply both sides by

x - 2

- 6 (x - 2) = 3

Divide both sides by

- 6

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

Move

2

to the right side

x = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{3}{2}

\frac{15}{x - 2} = 0

\frac{15}{60} = \frac{60}{x}

0 = \frac{6 x - x ^{2}}{( 3 - x ) ^{2}}

G, w = \frac{n}{( 1 - n ) G s}

0.08 = \frac{x}{0.02 ( 0.02 - x )}