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

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

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

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

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

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

Combine like terms: 3 + 6 = 9
9 + 2x = 5

Solving
9 + 2x = 5

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 2x = 5 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 5 + -9
2x = 5 + -9

Combine like terms: 5 + -9 = -4
2x = -4

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

Simplifying
x = -2