0.08(2000-x)+0.12(x)=200

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Solution for 0.08(2000-x)+0.12(x)=200 equation: 


Simplifying
0.08(2000 + -1x) + 0.12(x) = 200
(2000 * 0.08 + -1x * 0.08) + 0.12(x) = 200
(160 + -0.08x) + 0.12(x) = 200

Combine like terms: -0.08x + 0.12x = 0.04x
160 + 0.04x = 200

Solving
160 + 0.04x = 200

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 + 0.04x = 200 + -160

Combine like terms: 160 + -160 = 0
0 + 0.04x = 200 + -160
0.04x = 200 + -160

Combine like terms: 200 + -160 = 40
0.04x = 40

Divide each side by '0.04'.
x = 1000

Simplifying
x = 1000

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