10(1-x)+(4x+14)+22=82

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Solution for 10(1-x)+(4x+14)+22=82 equation: 


Simplifying
10(1 + -1x) + (4x + 14) + 22 = 82
(1 * 10 + -1x * 10) + (4x + 14) + 22 = 82
(10 + -10x) + (4x + 14) + 22 = 82

Reorder the terms:
10 + -10x + (14 + 4x) + 22 = 82

Remove parenthesis around (14 + 4x)
10 + -10x + 14 + 4x + 22 = 82

Reorder the terms:
10 + 14 + 22 + -10x + 4x = 82

Combine like terms: 10 + 14 = 24
24 + 22 + -10x + 4x = 82

Combine like terms: 24 + 22 = 46
46 + -10x + 4x = 82

Combine like terms: -10x + 4x = -6x
46 + -6x = 82

Solving
46 + -6x = 82

Solving for variable 'x'.

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

Add '-46' to each side of the equation.
46 + -46 + -6x = 82 + -46

Combine like terms: 46 + -46 = 0
0 + -6x = 82 + -46
-6x = 82 + -46

Combine like terms: 82 + -46 = 36
-6x = 36

Divide each side by '-6'.
x = -6

Simplifying
x = -6

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