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

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


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

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

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

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

Combine like terms: 11 + 1 = 12
12 + -5x = 1 + -1(5 + -1x)
12 + -5x = 1 + (5 * -1 + -1x * -1)
12 + -5x = 1 + (-5 + 1x)

Combine like terms: 1 + -5 = -4
12 + -5x = -4 + 1x

Solving
12 + -5x = -4 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + -5x + -1x = -4 + 1x + -1x

Combine like terms: -5x + -1x = -6x
12 + -6x = -4 + 1x + -1x

Combine like terms: 1x + -1x = 0
12 + -6x = -4 + 0
12 + -6x = -4

Add '-12' to each side of the equation.
12 + -12 + -6x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -6x = -4 + -12
-6x = -4 + -12

Combine like terms: -4 + -12 = -16
-6x = -16

Divide each side by '-6'.
x = 2.666666667

Simplifying
x = 2.666666667

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