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

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


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

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

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

Combine like terms: 4 + 12 = 16
16 + 2x = 3(x + 2) + -4

Reorder the terms:
16 + 2x = 3(2 + x) + -4
16 + 2x = (2 * 3 + x * 3) + -4
16 + 2x = (6 + 3x) + -4

Reorder the terms:
16 + 2x = 6 + -4 + 3x

Combine like terms: 6 + -4 = 2
16 + 2x = 2 + 3x

Solving
16 + 2x = 2 + 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.
16 + 2x + -3x = 2 + 3x + -3x

Combine like terms: 2x + -3x = -1x
16 + -1x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -1x = 2 + 0
16 + -1x = 2

Add '-16' to each side of the equation.
16 + -16 + -1x = 2 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 2 + -16
-1x = 2 + -16

Combine like terms: 2 + -16 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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