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

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

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

Reorder the terms:
2600 = 2((3 + x) + (2x + -6))

Remove parenthesis around (3 + x)
2600 = 2(3 + x + (2x + -6))

Reorder the terms:
2600 = 2(3 + x + (-6 + 2x))

Remove parenthesis around (-6 + 2x)
2600 = 2(3 + x + -6 + 2x)

Reorder the terms:
2600 = 2(3 + -6 + x + 2x)

Combine like terms: 3 + -6 = -3
2600 = 2(-3 + x + 2x)

Combine like terms: x + 2x = 3x
2600 = 2(-3 + 3x)
2600 = (-3 * 2 + 3x * 2)
2600 = (-6 + 6x)

Solving
2600 = -6 + 6x

Solving for variable 'x'.

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

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

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

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

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

Combine like terms: -6 + -2600 = -2606
-6x = -2606

Divide each side by '-6'.
x = 434.3333333

Simplifying
x = 434.3333333