6(1-x)+5=6(x-1)+5

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Solution for 6(1-x)+5=6(x-1)+5 equation: 


Simplifying
6(1 + -1x) + 5 = 6(x + -1) + 5
(1 * 6 + -1x * 6) + 5 = 6(x + -1) + 5
(6 + -6x) + 5 = 6(x + -1) + 5

Reorder the terms:
6 + 5 + -6x = 6(x + -1) + 5

Combine like terms: 6 + 5 = 11
11 + -6x = 6(x + -1) + 5

Reorder the terms:
11 + -6x = 6(-1 + x) + 5
11 + -6x = (-1 * 6 + x * 6) + 5
11 + -6x = (-6 + 6x) + 5

Reorder the terms:
11 + -6x = -6 + 5 + 6x

Combine like terms: -6 + 5 = -1
11 + -6x = -1 + 6x

Solving
11 + -6x = -1 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
11 + -6x + -6x = -1 + 6x + -6x

Combine like terms: -6x + -6x = -12x
11 + -12x = -1 + 6x + -6x

Combine like terms: 6x + -6x = 0
11 + -12x = -1 + 0
11 + -12x = -1

Add '-11' to each side of the equation.
11 + -11 + -12x = -1 + -11

Combine like terms: 11 + -11 = 0
0 + -12x = -1 + -11
-12x = -1 + -11

Combine like terms: -1 + -11 = -12
-12x = -12

Divide each side by '-12'.
x = 1

Simplifying
x = 1

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