2(x+4)+2(x+2)=2x+16

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Solution for 2(x+4)+2(x+2)=2x+16 equation: 


Simplifying
2(x + 4) + 2(x + 2) = 2x + 16

Reorder the terms:
2(4 + x) + 2(x + 2) = 2x + 16
(4 * 2 + x * 2) + 2(x + 2) = 2x + 16
(8 + 2x) + 2(x + 2) = 2x + 16

Reorder the terms:
8 + 2x + 2(2 + x) = 2x + 16
8 + 2x + (2 * 2 + x * 2) = 2x + 16
8 + 2x + (4 + 2x) = 2x + 16

Reorder the terms:
8 + 4 + 2x + 2x = 2x + 16

Combine like terms: 8 + 4 = 12
12 + 2x + 2x = 2x + 16

Combine like terms: 2x + 2x = 4x
12 + 4x = 2x + 16

Reorder the terms:
12 + 4x = 16 + 2x

Solving
12 + 4x = 16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
12 + 4x + -2x = 16 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
12 + 2x = 16 + 0
12 + 2x = 16

Add '-12' to each side of the equation.
12 + -12 + 2x = 16 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 16 + -12
2x = 16 + -12

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

Divide each side by '2'.
x = 2

Simplifying
x = 2

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