0.05X+0.10(300-X)=0.45X

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Solution for 0.05X+0.10(300-X)=0.45X equation: 


Simplifying
0.05X + 0.10(300 + -1X) = 0.45X
0.05X + (300 * 0.10 + -1X * 0.10) = 0.45X
0.05X + (30 + -0.1X) = 0.45X

Reorder the terms:
30 + 0.05X + -0.1X = 0.45X

Combine like terms: 0.05X + -0.1X = -0.05X
30 + -0.05X = 0.45X

Solving
30 + -0.05X = 0.45X

Solving for variable 'X'.

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

Add '-0.45X' to each side of the equation.
30 + -0.05X + -0.45X = 0.45X + -0.45X

Combine like terms: -0.05X + -0.45X = -0.5X
30 + -0.5X = 0.45X + -0.45X

Combine like terms: 0.45X + -0.45X = 0.00
30 + -0.5X = 0.00

Add '-30' to each side of the equation.
30 + -30 + -0.5X = 0.00 + -30

Combine like terms: 30 + -30 = 0
0 + -0.5X = 0.00 + -30
-0.5X = 0.00 + -30

Combine like terms: 0.00 + -30 = -30
-0.5X = -30

Divide each side by '-0.5'.
X = 60

Simplifying
X = 60

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