2(x-4)-2(x-3)=x-6

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Solution for 2(x-4)-2(x-3)=x-6 equation: 


Simplifying
2(x + -4) + -2(x + -3) = x + -6

Reorder the terms:
2(-4 + x) + -2(x + -3) = x + -6
(-4 * 2 + x * 2) + -2(x + -3) = x + -6
(-8 + 2x) + -2(x + -3) = x + -6

Reorder the terms:
-8 + 2x + -2(-3 + x) = x + -6
-8 + 2x + (-3 * -2 + x * -2) = x + -6
-8 + 2x + (6 + -2x) = x + -6

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

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

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

Reorder the terms:
-2 = -6 + x

Solving
-2 = -6 + x

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.
-2 + -1x = -6 + x + -1x

Combine like terms: x + -1x = 0
-2 + -1x = -6 + 0
-2 + -1x = -6

Add '2' to each side of the equation.
-2 + 2 + -1x = -6 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -6 + 2
-1x = -6 + 2

Combine like terms: -6 + 2 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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