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

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


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

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

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

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

Combine like terms: -12 + 2 = -10
2 + 2x = -10 + 6x

Solving
2 + 2x = -10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2 + 2x + -6x = -10 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
2 + -4x = -10 + 0
2 + -4x = -10

Add '-2' to each side of the equation.
2 + -2 + -4x = -10 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = -10 + -2
-4x = -10 + -2

Combine like terms: -10 + -2 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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