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

The answer to (2x-1)/(x+3)=5 is x=-16/3

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

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

x = - \frac{16}{3}

Decimal Notation

x = - 5.33333 \dots

Solution steps

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

Multiply both sides by

x + 3

2 x - 1 = 5 (x + 3)

Expand

5 (x + 3) : 5 x + 15

2 x - 1 = 5 x + 15

Move

1

to the right side

2 x = 5 x + 16

Move

5 x

to the left side

- 3 x = 16

Divide both sides by

- 3

x = - \frac{16}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = - \frac{16}{3}

\frac{2}{x} = 0

\frac{4}{3} = \frac{8}{x - 1}

\frac{2}{x} = \frac{13}{8 x} + 3

\frac{5}{x} = 25

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