(x+1)6-(x-1)6=44x

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Solution for (x+1)6-(x-1)6=44x equation:


Simplifying
(x + 1) * 6 + -1(x + -1) * 6 = 44x

Reorder the terms:
(1 + x) * 6 + -1(x + -1) * 6 = 44x

Reorder the terms for easier multiplication:
6(1 + x) + -1(x + -1) * 6 = 44x
(1 * 6 + x * 6) + -1(x + -1) * 6 = 44x
(6 + 6x) + -1(x + -1) * 6 = 44x

Reorder the terms:
6 + 6x + -1(-1 + x) * 6 = 44x

Reorder the terms for easier multiplication:
6 + 6x + -1 * 6(-1 + x) = 44x

Multiply -1 * 6
6 + 6x + -6(-1 + x) = 44x
6 + 6x + (-1 * -6 + x * -6) = 44x
6 + 6x + (6 + -6x) = 44x

Reorder the terms:
6 + 6 + 6x + -6x = 44x

Combine like terms: 6 + 6 = 12
12 + 6x + -6x = 44x

Combine like terms: 6x + -6x = 0
12 + 0 = 44x
12 = 44x

Solving
12 = 44x

Solving for variable 'x'.

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

Add '-44x' to each side of the equation.
12 + -44x = 44x + -44x

Combine like terms: 44x + -44x = 0
12 + -44x = 0

Add '-12' to each side of the equation.
12 + -12 + -44x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -44x = 0 + -12
-44x = 0 + -12

Combine like terms: 0 + -12 = -12
-44x = -12

Divide each side by '-44'.
x = 0.2727272727

Simplifying
x = 0.2727272727

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