0.08=(1-X)(0.05)+(X)(0.10)

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Solution for 0.08=(1-X)(0.05)+(X)(0.10) equation: 


Simplifying
0.08 = (1 + -1X)(0.05) + (X)(0.10)

Reorder the terms for easier multiplication:
0.08 = 0.05(1 + -1X) + (X)(0.10)
0.08 = (1 * 0.05 + -1X * 0.05) + (X)(0.10)
0.08 = (0.05 + -0.05X) + (X)(0.10)

Reorder the terms for easier multiplication:
0.08 = 0.05 + -0.05X + 0.10X

Combine like terms: -0.05X + 0.10X = 0.05X
0.08 = 0.05 + 0.05X

Solving
0.08 = 0.05 + 0.05X

Solving for variable 'X'.

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

Add '-0.05X' to each side of the equation.
0.08 + -0.05X = 0.05 + 0.05X + -0.05X

Combine like terms: 0.05X + -0.05X = 0.00
0.08 + -0.05X = 0.05 + 0.00
0.08 + -0.05X = 0.05

Add '-0.08' to each side of the equation.
0.08 + -0.08 + -0.05X = 0.05 + -0.08

Combine like terms: 0.08 + -0.08 = 0.00
0.00 + -0.05X = 0.05 + -0.08
-0.05X = 0.05 + -0.08

Combine like terms: 0.05 + -0.08 = -0.03
-0.05X = -0.03

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

Simplifying
X = 0.6

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