3(z+2)=z+8

Solution for 3(z+2)=z+8 equation:

Simplifying
3(z + 2) = z + 8

Reorder the terms:
3(2 + z) = z + 8
(2 * 3 + z * 3) = z + 8
(6 + 3z) = z + 8

Reorder the terms:
6 + 3z = 8 + z

Solving
6 + 3z = 8 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
6 + 3z + -1z = 8 + z + -1z

Combine like terms: 3z + -1z = 2z
6 + 2z = 8 + z + -1z

Combine like terms: z + -1z = 0
6 + 2z = 8 + 0
6 + 2z = 8

Add '-6' to each side of the equation.
6 + -6 + 2z = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 2z = 8 + -6
2z = 8 + -6

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

Divide each side by '2'.
z = 1

Simplifying
z = 1