.12x+.45(12-x)=1.0

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Solution for .12x+.45(12-x)=1.0 equation: 


Simplifying
0.12x + 0.45(12 + -1x) = 1.0
0.12x + (12 * 0.45 + -1x * 0.45) = 1.0
0.12x + (5.4 + -0.45x) = 1.0

Reorder the terms:
5.4 + 0.12x + -0.45x = 1.0

Combine like terms: 0.12x + -0.45x = -0.33x
5.4 + -0.33x = 1.0

Solving
5.4 + -0.33x = 1.0

Solving for variable 'x'.

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

Add '-5.4' to each side of the equation.
5.4 + -5.4 + -0.33x = 1.0 + -5.4

Combine like terms: 5.4 + -5.4 = 0.0
0.0 + -0.33x = 1.0 + -5.4
-0.33x = 1.0 + -5.4

Combine like terms: 1.0 + -5.4 = -4.4
-0.33x = -4.4

Divide each side by '-0.33'.
x = 13.33333333

Simplifying
x = 13.33333333

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