(z+2)-(3z-6)=4

Solution for (z+2)-(3z-6)=4 equation:

Simplifying
(z + 2) + -1(3z + -6) = 4

Reorder the terms:
(2 + z) + -1(3z + -6) = 4

Remove parenthesis around (2 + z)
2 + z + -1(3z + -6) = 4

Reorder the terms:
2 + z + -1(-6 + 3z) = 4
2 + z + (-6 * -1 + 3z * -1) = 4
2 + z + (6 + -3z) = 4

Reorder the terms:
2 + 6 + z + -3z = 4

Combine like terms: 2 + 6 = 8
8 + z + -3z = 4

Combine like terms: z + -3z = -2z
8 + -2z = 4

Solving
8 + -2z = 4

Solving for variable 'z'.

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

Add '-8' to each side of the equation.
8 + -8 + -2z = 4 + -8

Combine like terms: 8 + -8 = 0
0 + -2z = 4 + -8
-2z = 4 + -8

Combine like terms: 4 + -8 = -4
-2z = -4

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

Simplifying
z = 2