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

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

a, \frac{c}{a + b} = 5

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

3 = \frac{m - 6}{1 + 6 m}

r, B = \frac{c}{1 - r}

\frac{- 3}{7 + c} = \frac{- 3}{7}