2z+6=2(z+3)

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

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

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

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

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.