X(.07)+(1-X)(.12)=.1

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Solution for X(.07)+(1-X)(.12)=.1 equation: 


Simplifying
X(0.07) + (1 + -1X)(0.12) = 0.1

Reorder the terms for easier multiplication:
0.07X + (1 + -1X)(0.12) = 0.1

Reorder the terms for easier multiplication:
0.07X + 0.12(1 + -1X) = 0.1
0.07X + (1 * 0.12 + -1X * 0.12) = 0.1
0.07X + (0.12 + -0.12X) = 0.1

Reorder the terms:
0.12 + 0.07X + -0.12X = 0.1

Combine like terms: 0.07X + -0.12X = -0.05X
0.12 + -0.05X = 0.1

Solving
0.12 + -0.05X = 0.1

Solving for variable 'X'.

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

Add '-0.12' to each side of the equation.
0.12 + -0.12 + -0.05X = 0.1 + -0.12

Combine like terms: 0.12 + -0.12 = 0.00
0.00 + -0.05X = 0.1 + -0.12
-0.05X = 0.1 + -0.12

Combine like terms: 0.1 + -0.12 = -0.02
-0.05X = -0.02

Divide each side by '-0.05'.
X = 0.4

Simplifying
X = 0.4

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