2(x+4)+2(x-2)=3x+12

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Solution for 2(x+4)+2(x-2)=3x+12 equation: 


Simplifying
2(x + 4) + 2(x + -2) = 3x + 12

Reorder the terms:
2(4 + x) + 2(x + -2) = 3x + 12
(4 * 2 + x * 2) + 2(x + -2) = 3x + 12
(8 + 2x) + 2(x + -2) = 3x + 12

Reorder the terms:
8 + 2x + 2(-2 + x) = 3x + 12
8 + 2x + (-2 * 2 + x * 2) = 3x + 12
8 + 2x + (-4 + 2x) = 3x + 12

Reorder the terms:
8 + -4 + 2x + 2x = 3x + 12

Combine like terms: 8 + -4 = 4
4 + 2x + 2x = 3x + 12

Combine like terms: 2x + 2x = 4x
4 + 4x = 3x + 12

Reorder the terms:
4 + 4x = 12 + 3x

Solving
4 + 4x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + 4x + -3x = 12 + 3x + -3x

Combine like terms: 4x + -3x = 1x
4 + 1x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 1x = 12 + 0
4 + 1x = 12

Add '-4' to each side of the equation.
4 + -4 + 1x = 12 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 12 + -4
1x = 12 + -4

Combine like terms: 12 + -4 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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