x*1.15+(1-x)*0.85=1.05

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Solution for x*1.15+(1-x)*0.85=1.05 equation: 


Simplifying
x * 1.15 + (1 + -1x) * 0.85 = 1.05

Reorder the terms for easier multiplication:
1.15x + (1 + -1x) * 0.85 = 1.05

Reorder the terms for easier multiplication:
1.15x + 0.85(1 + -1x) = 1.05
1.15x + (1 * 0.85 + -1x * 0.85) = 1.05
1.15x + (0.85 + -0.85x) = 1.05

Reorder the terms:
0.85 + 1.15x + -0.85x = 1.05

Combine like terms: 1.15x + -0.85x = 0.3x
0.85 + 0.3x = 1.05

Solving
0.85 + 0.3x = 1.05

Solving for variable 'x'.

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

Add '-0.85' to each side of the equation.
0.85 + -0.85 + 0.3x = 1.05 + -0.85

Combine like terms: 0.85 + -0.85 = 0.00
0.00 + 0.3x = 1.05 + -0.85
0.3x = 1.05 + -0.85

Combine like terms: 1.05 + -0.85 = 0.2
0.3x = 0.2

Divide each side by '0.3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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