What is the answer to (3x+7)/(x+2)=5 ?

The answer to (3x+7)/(x+2)=5 is x=-3/2

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(3x+7)/(x+2)=5

\frac{3 x + 7}{x + 2} = 5

x = - \frac{3}{2}

Decimal Notation

x = - 1.5

Solution steps

\frac{3 x + 7}{x + 2} = 5

Multiply both sides by

x + 2

3 x + 7 = 5 (x + 2)

Expand

5 (x + 2) : 5 x + 10

3 x + 7 = 5 x + 10

Move

7

to the right side

3 x = 5 x + 3

Move

5 x

to the left side

- 2 x = 3

Divide both sides by

- 2

x = - \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - \frac{3}{2}

\frac{x + 9}{x - 1} = \frac{4}{x}

3 - \frac{1}{t} = \frac{2}{t ^{2}}

\frac{3}{x} + 6 = - 8

\frac{25}{x} = \frac{1}{4}

\frac{11 x - 33}{x - 3} = x