2(x-1)-6=10(1-x)+6

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Solution for 2(x-1)-6=10(1-x)+6 equation: 


Simplifying
2(x + -1) + -6 = 10(1 + -1x) + 6

Reorder the terms:
2(-1 + x) + -6 = 10(1 + -1x) + 6
(-1 * 2 + x * 2) + -6 = 10(1 + -1x) + 6
(-2 + 2x) + -6 = 10(1 + -1x) + 6

Reorder the terms:
-2 + -6 + 2x = 10(1 + -1x) + 6

Combine like terms: -2 + -6 = -8
-8 + 2x = 10(1 + -1x) + 6
-8 + 2x = (1 * 10 + -1x * 10) + 6
-8 + 2x = (10 + -10x) + 6

Reorder the terms:
-8 + 2x = 10 + 6 + -10x

Combine like terms: 10 + 6 = 16
-8 + 2x = 16 + -10x

Solving
-8 + 2x = 16 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-8 + 2x + 10x = 16 + -10x + 10x

Combine like terms: 2x + 10x = 12x
-8 + 12x = 16 + -10x + 10x

Combine like terms: -10x + 10x = 0
-8 + 12x = 16 + 0
-8 + 12x = 16

Add '8' to each side of the equation.
-8 + 8 + 12x = 16 + 8

Combine like terms: -8 + 8 = 0
0 + 12x = 16 + 8
12x = 16 + 8

Combine like terms: 16 + 8 = 24
12x = 24

Divide each side by '12'.
x = 2

Simplifying
x = 2

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