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

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

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

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

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

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

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

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

Remove parenthesis around (-2 + x)
6 + 2x = -4 + -1x + -2 + x

Reorder the terms:
6 + 2x = -4 + -2 + -1x + x

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

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

Solving
6 + 2x = -6

Solving for variable 'x'.

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

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

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

Combine like terms: -6 + -6 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6