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

The answer to (2x-1)/(x+2)=3 is x=-7

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

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

x = - 7

Solution steps

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

Multiply both sides by

x + 2

2 x - 1 = 3 (x + 2)

Expand

3 (x + 2) : 3 x + 6

2 x - 1 = 3 x + 6

Move

1

to the right side

2 x = 3 x + 7

Move

3 x

to the left side

- x = 7

Divide both sides by

- 1

x = - 7

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - 7

\frac{3 y + 1}{y + 2} = \frac{3 y - 2}{y + 1}

B, 2 = \frac{a}{2 B + q}

F, 3 N = \frac{g}{F} + m

\frac{8}{x + 9} = - \frac{2}{9}

\frac{232}{x + 21} = 50