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

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

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

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

x = - 1

Solution steps

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

Multiply both sides by

x + 2

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

Solve

3 x + 7 + x (x + 2) = 3 (x + 2) : x = - 1

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - 1

ab = \frac{m}{x + 1}

0 = \frac{5}{x ^{2} + 1}

\frac{1}{2 x + 13 - 1.5 x} = 3 x + 6 - 9

21 x - \frac{4}{x} = 8

\frac{x ^{2} - 2 x + 2}{x - 1} = 0