0.009x+0.2(500-x)=0.03*500

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Solution for 0.009x+0.2(500-x)=0.03*500 equation: 


Simplifying
0.009x + 0.2(500 + -1x) = 0.03 * 500
0.009x + (500 * 0.2 + -1x * 0.2) = 0.03 * 500
0.009x + (100 + -0.2x) = 0.03 * 500

Reorder the terms:
100 + 0.009x + -0.2x = 0.03 * 500

Combine like terms: 0.009x + -0.2x = -0.191x
100 + -0.191x = 0.03 * 500

Multiply 0.03 * 500
100 + -0.191x = 15

Solving
100 + -0.191x = 15

Solving for variable 'x'.

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

Add '-100' to each side of the equation.
100 + -100 + -0.191x = 15 + -100

Combine like terms: 100 + -100 = 0
0 + -0.191x = 15 + -100
-0.191x = 15 + -100

Combine like terms: 15 + -100 = -85
-0.191x = -85

Divide each side by '-0.191'.
x = 445.026178

Simplifying
x = 445.026178

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