2-(x+3)=6

Solution for 2-(x+3)=6 equation:

Simplifying
2 + -1(x + 3) = 6

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

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

Solving
-1 + -1x = 6

Solving for variable 'x'.

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

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

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

Combine like terms: 6 + 1 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7