2(2x+6)+2(x+3)=2600

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Solution for 2(2x+6)+2(x+3)=2600 equation: 


Simplifying
2(2x + 6) + 2(x + 3) = 2600

Reorder the terms:
2(6 + 2x) + 2(x + 3) = 2600
(6 * 2 + 2x * 2) + 2(x + 3) = 2600
(12 + 4x) + 2(x + 3) = 2600

Reorder the terms:
12 + 4x + 2(3 + x) = 2600
12 + 4x + (3 * 2 + x * 2) = 2600
12 + 4x + (6 + 2x) = 2600

Reorder the terms:
12 + 6 + 4x + 2x = 2600

Combine like terms: 12 + 6 = 18
18 + 4x + 2x = 2600

Combine like terms: 4x + 2x = 6x
18 + 6x = 2600

Solving
18 + 6x = 2600

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 6x = 2600 + -18

Combine like terms: 18 + -18 = 0
0 + 6x = 2600 + -18
6x = 2600 + -18

Combine like terms: 2600 + -18 = 2582
6x = 2582

Divide each side by '6'.
x = 430.3333333

Simplifying
x = 430.3333333

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