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

Solution for 3(x+1)+3=2-(x+4) equation:

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

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

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

Combine like terms: 3 + 3 = 6
6 + 3x = 2 + -1(x + 4)

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

Combine like terms: 2 + -4 = -2
6 + 3x = -2 + -1x

Solving
6 + 3x = -2 + -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 + 3x + x = -2 + -1x + x

Combine like terms: 3x + x = 4x
6 + 4x = -2 + -1x + x

Combine like terms: -1x + x = 0
6 + 4x = -2 + 0
6 + 4x = -2

Add '-6' to each side of the equation.
6 + -6 + 4x = -2 + -6

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

Combine like terms: -2 + -6 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2