What is the answer to 1000=1000-x+0.2*(1000-x) ?

The answer to 1000=1000-x+0.2*(1000-x) is x= 500/3

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1000=1000-x+0.2*(1000-x)

1000 = 1000 - x + 0.2 \cdot (1000 - x)

x = \frac{500}{3}

Decimal Notation

x = 166.66666 \dots

Solution steps

1000 = 1000 - x + 0.2 (1000 - x)

Subtract

1000

from both sides

1000 - 1000 = 1000 - x + 0.2 (1000 - x) - 1000

Simplify

0 = - x + 0.2 (1000 - x)

Switch sides

- x + 0.2 (1000 - x) = 0

Multiply both sides by

10

- 10 x + 2 (1000 - x) = 0

Expand

- 10 x + 2 (1000 - x) : - 12 x + 2000

- 12 x + 2000 = 0

Move

2000

to the right side

- 12 x = - 2000

Divide both sides by

- 12

x = \frac{500}{3}

7 x = (6 mod 15)

4 x + 5 = - \frac{1}{3} x - 8

\frac{( p + 6 )}{4} + \frac{( p - 3 )}{5} = \frac{( 5 p - 4 )}{8}

f = (3 - 2)

ln (e + 1) = y

What is the answer to 1000=1000-x+0.2*(1000-x) ?
The answer to 1000=1000-x+0.2*(1000-x) is x= 500/3
Solve for x: 1000=1000-x+0.2*(1000-x)
The solution is x= 500/3