x-(x+3)=x-6

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

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

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

Reorder the terms:
-3 + x + -1x = x + -6

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

Reorder the terms:
-3 = -6 + x

Solving
-3 = -6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3 + -1x = -6 + x + -1x

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

Add '3' to each side of the equation.
-3 + 3 + -1x = -6 + 3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3