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

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

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

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

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

Solving
6 + 4z = 2 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
6 + 4z + -6z = 2 + 6z + -6z

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

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

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

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

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

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

Simplifying
z = 2