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

The answer to (2x-1)/(x+3)=-2 is x=-5/4

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

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

x = - \frac{5}{4}

Decimal Notation

x = - 1.25

Solution steps

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

Multiply both sides by

x + 3

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

Expand

- 2 (x + 3) : - 2 x - 6

2 x - 1 = - 2 x - 6

Move

1

to the right side

2 x = - 2 x - 5

Move

2 x

to the left side

4 x = - 5

Divide both sides by

4

x = - \frac{5}{4}

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = - \frac{5}{4}

1 - x - \frac{36}{108 x + 18} = 0

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

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

\frac{13}{x - 1} = \frac{15}{x + 2}

\frac{3}{x + 4} = \frac{2}{7}