4z+6=2(z+3)

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

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

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

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

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

Combine like terms: 6 + -6 = 0
0 + 4z = 6 + -6 + 2z
4z = 6 + -6 + 2z

Combine like terms: 6 + -6 = 0
4z = 0 + 2z
4z = 2z

Solving
4z = 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.
4z + -2z = 2z + -2z

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

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

Divide each side by '2'.
z = 0

Simplifying
z = 0