(x)*(0.1)+(1-x)*(0.15)=0.12

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Solution for (x)*(0.1)+(1-x)*(0.15)=0.12 equation: 


Simplifying
(x)(0.1) + (1 + -1x)(0.15) = 0.12

Reorder the terms for easier multiplication:
0.1x + (1 + -1x)(0.15) = 0.12

Reorder the terms for easier multiplication:
0.1x + 0.15(1 + -1x) = 0.12
0.1x + (1 * 0.15 + -1x * 0.15) = 0.12
0.1x + (0.15 + -0.15x) = 0.12

Reorder the terms:
0.15 + 0.1x + -0.15x = 0.12

Combine like terms: 0.1x + -0.15x = -0.05x
0.15 + -0.05x = 0.12

Solving
0.15 + -0.05x = 0.12

Solving for variable 'x'.

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

Add '-0.15' to each side of the equation.
0.15 + -0.15 + -0.05x = 0.12 + -0.15

Combine like terms: 0.15 + -0.15 = 0.00
0.00 + -0.05x = 0.12 + -0.15
-0.05x = 0.12 + -0.15

Combine like terms: 0.12 + -0.15 = -0.03
-0.05x = -0.03

Divide each side by '-0.05'.
x = 0.6

Simplifying
x = 0.6

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