6=2(x-1)-2

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


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

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

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

Combine like terms: -2 + -2 = -4
6 = -4 + 2x

Solving
6 = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + -2x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -2x = -4 + 0
6 + -2x = -4

Add '-6' to each side of the equation.
6 + -6 + -2x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -4 + -6
-2x = -4 + -6

Combine like terms: -4 + -6 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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