[15-(x-3)-3-(6-3)]=

Solution for [15-(x-3)-3-(6-3)]= equation:

Simplifying
[15 + -1(x + -3) + -3 + -1(6 + -3)] = 0

Reorder the terms:
[15 + -1(-3 + x) + -3 + -1(6 + -3)] = 0
[15 + (-3 * -1 + x * -1) + -3 + -1(6 + -3)] = 0
[15 + (3 + -1x) + -3 + -1(6 + -3)] = 0

Combine like terms: 6 + -3 = 3
[15 + 3 + -1x + -3 + -1(3)] = 0

Multiply -1 * 3
[15 + 3 + -1x + -3 + -3] = 0

Reorder the terms:
[15 + 3 + -3 + -3 + -1x] = 0

Combine like terms: 15 + 3 = 18
[18 + -3 + -3 + -1x] = 0

Combine like terms: 18 + -3 = 15
[15 + -3 + -1x] = 0

Combine like terms: 15 + -3 = 12
[12 + -1x] = 0

Remove brackets around [12 + -1x]
12 + -1x = 0

Solving
12 + -1x = 0

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12