0.08=0.04*X+0.10(1-X)

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Solution for 0.08=0.04*X+0.10(1-X) equation: 


Simplifying
0.08 = 0.04X + 0.10(1 + -1X)
0.08 = 0.04X + (1 * 0.10 + -1X * 0.10)
0.08 = 0.04X + (0.1 + -0.1X)

Reorder the terms:
0.08 = 0.1 + 0.04X + -0.1X

Combine like terms: 0.04X + -0.1X = -0.06X
0.08 = 0.1 + -0.06X

Solving
0.08 = 0.1 + -0.06X

Solving for variable 'X'.

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

Add '0.06X' to each side of the equation.
0.08 + 0.06X = 0.1 + -0.06X + 0.06X

Combine like terms: -0.06X + 0.06X = 0.00
0.08 + 0.06X = 0.1 + 0.00
0.08 + 0.06X = 0.1

Add '-0.08' to each side of the equation.
0.08 + -0.08 + 0.06X = 0.1 + -0.08

Combine like terms: 0.08 + -0.08 = 0.00
0.00 + 0.06X = 0.1 + -0.08
0.06X = 0.1 + -0.08

Combine like terms: 0.1 + -0.08 = 0.02
0.06X = 0.02

Divide each side by '0.06'.
X = 0.3333333333

Simplifying
X = 0.3333333333

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