2(x+1)+6(x-1)=12

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Solution for 2(x+1)+6(x-1)=12 equation:


Simplifying
2(x + 1) + 6(x + -1) = 12

Reorder the terms:
2(1 + x) + 6(x + -1) = 12
(1 * 2 + x * 2) + 6(x + -1) = 12
(2 + 2x) + 6(x + -1) = 12

Reorder the terms:
2 + 2x + 6(-1 + x) = 12
2 + 2x + (-1 * 6 + x * 6) = 12
2 + 2x + (-6 + 6x) = 12

Reorder the terms:
2 + -6 + 2x + 6x = 12

Combine like terms: 2 + -6 = -4
-4 + 2x + 6x = 12

Combine like terms: 2x + 6x = 8x
-4 + 8x = 12

Solving
-4 + 8x = 12

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 8x = 12 + 4

Combine like terms: -4 + 4 = 0
0 + 8x = 12 + 4
8x = 12 + 4

Combine like terms: 12 + 4 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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