What is the answer to (2000x-38400)/(2000x)=0.2 ?

The answer to (2000x-38400)/(2000x)=0.2 is x=24

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(2000x-38400)/(2000x)=0.2

\frac{2000 x - 38400}{2000 x} = 0.2

x = 24

Solution steps

\frac{2000 x - 38400}{2000 x} = 0.2

Simplify

\frac{2000 x - 38400}{2000 x} : \frac{5 x - 96}{5 x}

\frac{5 x - 96}{5 x} = 0.2

Multiply both sides by

x

\frac{5 x - 96}{5} = 0.2 x

Multiply both sides by

10

2 (5 x - 96) = 2 x

Expand

2 (5 x - 96) : 10 x - 192

10 x - 192 = 2 x

Move

192

to the right side

10 x = 2 x + 192

Move

2 x

to the left side

8 x = 192

Divide both sides by

8

x = 24

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 24

v, u = \frac{5 a}{4 w v}

\frac{15}{y} + \frac{10}{y} = 5

x, y = \frac{x + 4}{3 x - 2}

1000 = 5 + \frac{80000}{x}

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

What is the answer to (2000x-38400)/(2000x)=0.2 ?
The answer to (2000x-38400)/(2000x)=0.2 is x=24
Solve for x: (2000x-38400)/(2000x)=0.2
The solution is x=24