What is the answer to ((8+x))/((14+x))=0.8 ?

The answer to ((8+x))/((14+x))=0.8 is x=16

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((8+x))/((14+x))=0.8

\frac{( 8 + x )}{( 14 + x )} = 0.8

x = 16

Solution steps

\frac{( 8 + x )}{( 14 + x )} = 0.8

Simplify

\frac{( 8 + x )}{( 14 + x )} : \frac{8 + x}{14 + x}

\frac{8 + x}{14 + x} = 0.8

Multiply both sides by

14 + x

8 + x = 0.8 (14 + x)

Multiply both sides by

10

80 + 10 x = 8 (14 + x)

Expand

8 (14 + x) : 112 + 8 x

80 + 10 x = 112 + 8 x

Move

80

to the right side

10 x = 8 x + 32

Move

8 x

to the left side

2 x = 32

Divide both sides by

2

x = 16

Verify Solutions

Find undefined (singularity) points:

x = - 14

Combine undefined points with solutions:

x = 16

x = \frac{- 8 x - 15}{x}

\frac{8 x}{28 x} = \frac{x}{2}

\frac{2 x - 1}{x + 3} = 0

\frac{2}{v + 6} = \frac{14}{10}

\frac{15}{5} = \frac{20}{x}

What is the answer to ((8+x))/((14+x))=0.8 ?
The answer to ((8+x))/((14+x))=0.8 is x=16
Solve for x: ((8+x))/((14+x))=0.8
The solution is x=16