0.85*x+0.15*(1-x)=1

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Solution for 0.85*x+0.15*(1-x)=1 equation: 


Simplifying
0.85x + 0.15(1 + -1x) = 1
0.85x + (1 * 0.15 + -1x * 0.15) = 1
0.85x + (0.15 + -0.15x) = 1

Reorder the terms:
0.15 + 0.85x + -0.15x = 1

Combine like terms: 0.85x + -0.15x = 0.7x
0.15 + 0.7x = 1

Solving
0.15 + 0.7x = 1

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 + 0.7x = 1 + -0.15

Combine like terms: 0.15 + -0.15 = 0.00
0.00 + 0.7x = 1 + -0.15
0.7x = 1 + -0.15

Combine like terms: 1 + -0.15 = 0.85
0.7x = 0.85

Divide each side by '0.7'.
x = 1.214285714

Simplifying
x = 1.214285714

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