x-(y-6)=2

Solution for x-(y-6)=2 equation:

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

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

Reorder the terms:
6 + x + -1y = 2

Solving
6 + x + -1y = 2

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 + x + -6 + -1y = 2 + -6

Reorder the terms:
6 + -6 + x + -1y = 2 + -6

Combine like terms: 6 + -6 = 0
0 + x + -1y = 2 + -6
x + -1y = 2 + -6

Combine like terms: 2 + -6 = -4
x + -1y = -4

Add 'y' to each side of the equation.
x + -1y + y = -4 + y

Combine like terms: -1y + y = 0
x + 0 = -4 + y
x = -4 + y

Simplifying
x = -4 + y