6=6-(x+3)

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

Simplifying
6 = 6 + -1(x + 3)

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

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

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

Combine like terms: -1x + x = 0
6 + x = 3 + 0
6 + x = 3

Add '-6' to each side of the equation.
6 + -6 + x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + x = 3 + -6
x = 3 + -6

Combine like terms: 3 + -6 = -3
x = -3

Simplifying
x = -3