-[x-3(x+2)]=5

Solution for -[x-3(x+2)]=5 equation:

Simplifying
-1[x + -3(x + 2)] = 5

Reorder the terms:
-1[x + -3(2 + x)] = 5
-1[x + (2 * -3 + x * -3)] = 5
-1[x + (-6 + -3x)] = 5

Reorder the terms:
-1[-6 + x + -3x] = 5

Combine like terms: x + -3x = -2x
-1[-6 + -2x] = 5
[-6 * -1 + -2x * -1] = 5
[6 + 2x] = 5

Solving
6 + 2x = 5

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 = 5 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 5 + -6
2x = 5 + -6

Combine like terms: 5 + -6 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5