2(z+3)=1+3z

Solution for 2(z+3)=1+3z equation:

Simplifying
2(z + 3) = 1 + 3z

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

Solving
6 + 2z = 1 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
6 + 2z + -3z = 1 + 3z + -3z

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

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

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

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

Combine like terms: 1 + -6 = -5
-1z = -5

Divide each side by '-1'.
z = 5

Simplifying
z = 5