2z+12=2(2z+3)

Solution for 2z+12=2(2z+3) equation:

Simplifying
2z + 12 = 2(2z + 3)

Reorder the terms:
12 + 2z = 2(2z + 3)

Reorder the terms:
12 + 2z = 2(3 + 2z)
12 + 2z = (3 * 2 + 2z * 2)
12 + 2z = (6 + 4z)

Solving
12 + 2z = 6 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
12 + 2z + -4z = 6 + 4z + -4z

Combine like terms: 2z + -4z = -2z
12 + -2z = 6 + 4z + -4z

Combine like terms: 4z + -4z = 0
12 + -2z = 6 + 0
12 + -2z = 6

Add '-12' to each side of the equation.
12 + -12 + -2z = 6 + -12

Combine like terms: 12 + -12 = 0
0 + -2z = 6 + -12
-2z = 6 + -12

Combine like terms: 6 + -12 = -6
-2z = -6

Divide each side by '-2'.
z = 3

Simplifying
z = 3