(x*4)+[(1-x)*11]=9

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Solution for (x*4)+[(1-x)*11]=9 equation:


Simplifying
(x * 4) + [(1 + -1x) * 11] = 9

Reorder the terms for easier multiplication:
(4x) + [(1 + -1x) * 11] = 9

Reorder the terms for easier multiplication:
(4x) + [11(1 + -1x)] = 9
(4x) + [(1 * 11 + -1x * 11)] = 9
(4x) + [(11 + -11x)] = 9
(4x) + [11 + -11x] = 9

Remove brackets around [11 + -11x]
(4x) + 11 + -11x = 9

Reorder the terms:
11 + (4x) + -11x = 9

Combine like terms: (4x) + -11x = -7x
11 + -7x = 9

Solving
11 + -7x = 9

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + -7x = 9 + -11

Combine like terms: 11 + -11 = 0
0 + -7x = 9 + -11
-7x = 9 + -11

Combine like terms: 9 + -11 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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