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

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

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

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

x = - 8

Solution steps

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

Simplify

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

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

Multiply both sides by

x + 3

x - 2 = 2 (x + 3)

Expand

2 (x + 3) : 2 x + 6

x - 2 = 2 x + 6

Move

2

to the right side

x = 2 x + 8

Move

2 x

to the left side

- x = 8

Divide both sides by

- 1

x = - 8

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = - 8

\frac{1}{( x ^{2} - 2 x - 8 )} = \frac{a}{( x - 4 )} + \frac{b}{( x + 2 )}

\frac{1}{x ^{2}} = 0

(\frac{y ^{2}}{2 y}) + 3 y - 5 = 2

\frac{x ^{2} + 1}{x ^{2} + 1} = 0

\frac{1}{5} = \frac{x}{x + 100}

What is the answer to ((x-2))/((x+3))=2 ?
The answer to ((x-2))/((x+3))=2 is x=-8
Solve for x: ((x-2))/((x+3))=2
The solution is x=-8