(x*5)+[(1-x)*20]=9.1315

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Solution for (x*5)+[(1-x)*20]=9.1315 equation:


Simplifying
(x * 5) + [(1 + -1x) * 20] = 9.1315

Reorder the terms for easier multiplication:
(5x) + [(1 + -1x) * 20] = 9.1315

Reorder the terms for easier multiplication:
(5x) + [20(1 + -1x)] = 9.1315
(5x) + [(1 * 20 + -1x * 20)] = 9.1315
(5x) + [(20 + -20x)] = 9.1315
(5x) + [20 + -20x] = 9.1315

Remove brackets around [20 + -20x]
(5x) + 20 + -20x = 9.1315

Reorder the terms:
20 + (5x) + -20x = 9.1315

Combine like terms: (5x) + -20x = -15x
20 + -15x = 9.1315

Solving
20 + -15x = 9.1315

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + -15x = 9.1315 + -20

Combine like terms: 20 + -20 = 0
0 + -15x = 9.1315 + -20
-15x = 9.1315 + -20

Combine like terms: 9.1315 + -20 = -10.8685
-15x = -10.8685

Divide each side by '-15'.
x = 0.7245666667

Simplifying
x = 0.7245666667

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