z+6=2z+2

Solution for z+6=2z+2 equation:

Simplifying
z + 6 = 2z + 2

Reorder the terms:
6 + z = 2z + 2

Reorder the terms:
6 + z = 2 + 2z

Solving
6 + z = 2 + 2z

Solving for variable 'z'.

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

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

Combine like terms: z + -2z = -1z
6 + -1z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
6 + -1z = 2 + 0
6 + -1z = 2

Add '-6' to each side of the equation.
6 + -6 + -1z = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -1z = 2 + -6
-1z = 2 + -6

Combine like terms: 2 + -6 = -4
-1z = -4

Divide each side by '-1'.
z = 4

Simplifying
z = 4