2(x+6)+2((x+4)+6)=100

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Solution for 2(x+6)+2((x+4)+6)=100 equation: 


Simplifying
2(x + 6) + 2((x + 4) + 6) = 100

Reorder the terms:
2(6 + x) + 2((x + 4) + 6) = 100
(6 * 2 + x * 2) + 2((x + 4) + 6) = 100
(12 + 2x) + 2((x + 4) + 6) = 100

Reorder the terms:
12 + 2x + 2((4 + x) + 6) = 100

Remove parenthesis around (4 + x)
12 + 2x + 2(4 + x + 6) = 100

Reorder the terms:
12 + 2x + 2(4 + 6 + x) = 100

Combine like terms: 4 + 6 = 10
12 + 2x + 2(10 + x) = 100
12 + 2x + (10 * 2 + x * 2) = 100
12 + 2x + (20 + 2x) = 100

Reorder the terms:
12 + 20 + 2x + 2x = 100

Combine like terms: 12 + 20 = 32
32 + 2x + 2x = 100

Combine like terms: 2x + 2x = 4x
32 + 4x = 100

Solving
32 + 4x = 100

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + 4x = 100 + -32

Combine like terms: 32 + -32 = 0
0 + 4x = 100 + -32
4x = 100 + -32

Combine like terms: 100 + -32 = 68
4x = 68

Divide each side by '4'.
x = 17

Simplifying
x = 17

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