What is the answer to 1/(1+2(x/4))=0.5 ?

The answer to 1/(1+2(x/4))=0.5 is x=2

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1/(1+2(x/4))=0.5

\frac{1}{1 + 2 ( \frac{x}{4} )} = 0.5

x = 2

Solution steps

\frac{1}{1 + 2 ( \frac{x}{4} )} = 0.5

Simplify

\frac{1}{1 + 2 ( \frac{x}{4} )} : \frac{2}{2 + x}

\frac{2}{2 + x} = 0.5

Multiply both sides by

2 + x

2 = 0.5 (2 + x)

Switch sides

0.5 (2 + x) = 2

Divide both sides by

0.5

2 + x = 4

Move

2

to the right side

x = 2

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = 2

\frac{8 x + 4}{4 - 2 x} = - 6

\frac{1}{x ^{2}} + 2 = \frac{1}{4}

\frac{x}{x ^{2}} - 5 x + 4 = 0

\frac{9}{x - 2} = 6

x, \frac{5 y}{x - 3} = 4