3(x+2)+x=15-(x+4)

Solution for 3(x+2)+x=15-(x+4) equation:

Simplifying
3(x + 2) + x = 15 + -1(x + 4)

Reorder the terms:
3(2 + x) + x = 15 + -1(x + 4)
(2 * 3 + x * 3) + x = 15 + -1(x + 4)
(6 + 3x) + x = 15 + -1(x + 4)

Combine like terms: 3x + x = 4x
6 + 4x = 15 + -1(x + 4)

Reorder the terms:
6 + 4x = 15 + -1(4 + x)
6 + 4x = 15 + (4 * -1 + x * -1)
6 + 4x = 15 + (-4 + -1x)

Combine like terms: 15 + -4 = 11
6 + 4x = 11 + -1x

Solving
6 + 4x = 11 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + 4x + x = 11 + -1x + x

Combine like terms: 4x + x = 5x
6 + 5x = 11 + -1x + x

Combine like terms: -1x + x = 0
6 + 5x = 11 + 0
6 + 5x = 11

Add '-6' to each side of the equation.
6 + -6 + 5x = 11 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 11 + -6
5x = 11 + -6

Combine like terms: 11 + -6 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1