What is the answer to 1/(2(4-x))=8-2.5x ?

The answer to 1/(2(4-x))=8-2.5x is x= 21/5 ,x=3

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1/(2(4-x))=8-2.5x

\frac{1}{2 ( 4 - x )} = 8 - 2.5 x

x = \frac{21}{5}, x = 3

Decimal Notation

x = 4.2, x = 3

Solution steps

\frac{1}{2 ( 4 - x )} = 8 - 2.5 x

Multiply both sides by

10

\frac{5}{4 - x} = 80 - 25 x

Multiply both sides by

4 - x

5 = 80 (4 - x) - 25 x (4 - x)

Solve

5 = 80 (4 - x) - 25 x (4 - x) : x = \frac{21}{5}, x = 3

x = \frac{21}{5}, x = 3

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = \frac{21}{5}, x = 3

0.25 = \frac{1}{n}

\frac{e ^{- 4}}{t} = \frac{1}{4}

\frac{( 5 + x )}{( 5 - x )} - \frac{( 5 - x )}{( 5 + x )} = \frac{33}{4}

0.1 t^{2} = \frac{200}{t}

\frac{3}{4 ( x - 6 ) ^{2} + 1} = 28

What is the answer to 1/(2(4-x))=8-2.5x ?
The answer to 1/(2(4-x))=8-2.5x is x= 21/5 ,x=3
Solve for x: 1/(2(4-x))=8-2.5x
The solution is x= 21/5 ,x=3