3(x+(x+2))=15+(x+(x+2))

Solution for 3(x+(x+2))=15+(x+(x+2)) equation:

Simplifying
3(x + (x + 2)) = 15 + (x + (x + 2))

Reorder the terms:
3(x + (2 + x)) = 15 + (x + (x + 2))

Remove parenthesis around (2 + x)
3(x + 2 + x) = 15 + (x + (x + 2))

Reorder the terms:
3(2 + x + x) = 15 + (x + (x + 2))

Combine like terms: x + x = 2x
3(2 + 2x) = 15 + (x + (x + 2))
(2 * 3 + 2x * 3) = 15 + (x + (x + 2))
(6 + 6x) = 15 + (x + (x + 2))

Reorder the terms:
6 + 6x = 15 + (x + (2 + x))

Remove parenthesis around (2 + x)
6 + 6x = 15 + (x + 2 + x)

Reorder the terms:
6 + 6x = 15 + (2 + x + x)

Combine like terms: x + x = 2x
6 + 6x = 15 + (2 + 2x)

Remove parenthesis around (2 + 2x)
6 + 6x = 15 + 2 + 2x

Combine like terms: 15 + 2 = 17
6 + 6x = 17 + 2x

Solving
6 + 6x = 17 + 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.
6 + 6x + -2x = 17 + 2x + -2x

Combine like terms: 6x + -2x = 4x
6 + 4x = 17 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 4x = 17 + 0
6 + 4x = 17

Add '-6' to each side of the equation.
6 + -6 + 4x = 17 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 17 + -6
4x = 17 + -6

Combine like terms: 17 + -6 = 11
4x = 11

Divide each side by '4'.
x = 2.75

Simplifying
x = 2.75