.20x+.80(200-x)=.30(200)

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Solution for .20x+.80(200-x)=.30(200) equation:


Simplifying
0.20x + 0.80(200 + -1x) = 0.30(200)
0.20x + (200 * 0.80 + -1x * 0.80) = 0.30(200)
0.20x + (160 + -0.8x) = 0.30(200)

Reorder the terms:
160 + 0.20x + -0.8x = 0.30(200)

Combine like terms: 0.20x + -0.8x = -0.6x
160 + -0.6x = 0.30(200)

Multiply 0.30 * 200
160 + -0.6x = 60

Solving
160 + -0.6x = 60

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-160' to each side of the equation.
160 + -160 + -0.6x = 60 + -160

Combine like terms: 160 + -160 = 0
0 + -0.6x = 60 + -160
-0.6x = 60 + -160

Combine like terms: 60 + -160 = -100
-0.6x = -100

Divide each side by '-0.6'.
x = 166.6666667

Simplifying
x = 166.6666667

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