What is the answer to 8/(2*(a+2))=1 ?

The answer to 8/(2*(a+2))=1 is a=2

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8/(2*(a+2))=1

\frac{8}{2 \cdot ( a + 2 )} = 1

a = 2

Solution steps

\frac{8}{2 ( a + 2 )} = 1

Simplify

\frac{8}{2 ( a + 2 )} : \frac{4}{a + 2}

\frac{4}{a + 2} = 1

Multiply both sides by

a + 2

4 = a + 2

Switch sides

a + 2 = 4

Move

2

to the right side

a = 2

Verify Solutions

Find undefined (singularity) points:

a = - 2

Combine undefined points with solutions:

a = 2

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

9 - x^{2} = \frac{1}{x}

- 8 + \frac{5}{x} = - 3 x

\frac{12}{x} - \frac{22}{x - 4} + 4 = 0

\frac{3}{3 x + 2} = \frac{6}{5 x}